Find the smallest number which when multiplied with 3600 will make the product a perfect cube. Further, find the cube root of the product.

Explanation

To solve the problem of finding the smallest number which, when multiplied by 3600, results in a perfect cube, and then finding the cube root of that product, we can follow these steps:

### Step 1: Factorize 3600
First, we need to find the prime factorization of 3600.

1. Divide 3600 by 2:
- \(3600 \div 2 = 1800\)
2. Divide 1800 by 2:
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