It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 3 643 627 is not a prime number.
For example, 3 643 627 can be divided by 13: 3 643 627 / 13 = 280 279.
For 3 643 627 to be a prime number, it would have been required that 3 643 627 has only two divisors, i.e., itself and 1.
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3 643 627 is an odd number, because it is not evenly divisible by 2.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 3 643 627 is about 1 908.829.
Thus, the square root of 3 643 627 is not an integer, and therefore 3 643 627 is not a square number.
The square of a number (here 3 643 627) is the result of the product of this number (3 643 627) by itself (i.e., 3 643 627 × 3 643 627); the square of 3 643 627 is sometimes called "raising 3 643 627 to the power 2", or "3 643 627 squared".
The square of 3 643 627 is 13 276 017 715 129 because 3 643 627 × 3 643 627 = 3 643 6272 = 13 276 017 715 129.
As a consequence, 3 643 627 is the square root of 13 276 017 715 129.
The multiples of 3 643 627 are all integers evenly divisible by 3 643 627, that is all numbers such that the remainder of the division by 3 643 627 is zero. There are infinitely many multiples of 3 643 627. The smallest multiples of 3 643 627 are: