It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 3 638 707 is not a prime number.
For example, 3 638 707 can be divided by 59: 3 638 707 / 59 = 61 673.
For 3 638 707 to be a prime number, it would have been required that 3 638 707 has only two divisors, i.e., itself and 1.
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3 638 707 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 3 638 707 is about 1 907.540.
Thus, the square root of 3 638 707 is not an integer, and therefore 3 638 707 is not a square number.
The square of a number (here 3 638 707) is the result of the product of this number (3 638 707) by itself (i.e., 3 638 707 × 3 638 707); the square of 3 638 707 is sometimes called "raising 3 638 707 to the power 2", or "3 638 707 squared".
The square of 3 638 707 is 13 240 188 631 849 because 3 638 707 × 3 638 707 = 3 638 7072 = 13 240 188 631 849.
As a consequence, 3 638 707 is the square root of 13 240 188 631 849.
The multiples of 3 638 707 are all integers evenly divisible by 3 638 707, that is all numbers such that the remainder of the division by 3 638 707 is zero. There are infinitely many multiples of 3 638 707. The smallest multiples of 3 638 707 are: