**Number of even factors of 36000**
To find the number of even factors of 36000, we need to first factorize 36000 and then determine the factors that are even.

**Factorizing 36000**
To factorize 36000, we can start by finding the prime factorization of the number.

36000 can be written as 2^5 * 3^2 * 5^3 since 2, 3, and 5 are prime numbers.

**Finding Factors**
To find the factors of 36000, we need to consider all possible combinations of the prime factors.

The number of factors can be determined by multiplying the powers of each prime factor incremented by 1.

For 36000, the number of factors is (5+1) * (2+1) * (3+1) = 6 * 3 * 4 = 72.

**Identifying even factors**
Now, we need to determine the factors that are even. Since an even number is divisible by 2, the even factors will have at least one factor of 2.

To count the even factors, we need to count the number of ways we can select the power of 2 in the factorization.

The power of 2 can range from 0 to 5, giving us 6 options. However, we should exclude the case where the power of 2 is 5 because these factors would be divisible by 32, which is not divisible by 9 but is divisible by 36.

Therefore, we have 5 options for the power of 2.

**Factors divisible by 9**
Next, we need to determine the factors that are divisible by 9. Since 9 = 3^2, any factor divisible by 9 must have at least two factors of 3.

Similar to the process for even factors, we count the number of ways we can select the power of 3 in the factorization.

The power of 3 can range from 0 to 2, giving us 3 options.

**Factors divisible by 36**
Finally, we need to exclude the factors that are divisible by 36. Since 36 = 2^2 * 3^2, any factor divisible by 36 must have at least two factors of 2 and two factors of 3.

Similar to the previous cases, we count the number of ways we can select the power of 2 and 3 in the factorization.

For the power of 2, we have 3 options.
For the power of 3, we have 2 options.

Multiplying these options, we find that there are 6 possible factors that are divisible by 36.

**Calculating the final count**
To calculate the number of even factors of 36000 that are divisible by 9 but not by 36, we subtract the count of factors divisible by 36 from the count of factors divisible by 9.

Number of even factors divisible by 9 but not by 36 = (Number of even factors divisible by 9) - (Number of even factors divisible by 36)
= 5 * 3 - 6
= 15 - 6
= 9

Therefore, the number of even factors of 36000 that are divisible by 9 but not by 36 is 9.