It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 3 629 023 is not a prime number.
For example, 3 629 023 can be divided by 71: 3 629 023 / 71 = 51 113.
For 3 629 023 to be a prime number, it would have been required that 3 629 023 has only two divisors, i.e., itself and 1.
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3 629 023 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 3 629 023 is about 1 904.999.
Thus, the square root of 3 629 023 is not an integer, and therefore 3 629 023 is not a square number.
The square of a number (here 3 629 023) is the result of the product of this number (3 629 023) by itself (i.e., 3 629 023 × 3 629 023); the square of 3 629 023 is sometimes called "raising 3 629 023 to the power 2", or "3 629 023 squared".
The square of 3 629 023 is 13 169 807 934 529 because 3 629 023 × 3 629 023 = 3 629 0232 = 13 169 807 934 529.
As a consequence, 3 629 023 is the square root of 13 169 807 934 529.
The multiples of 3 629 023 are all integers evenly divisible by 3 629 023, that is all numbers such that the remainder of the division by 3 629 023 is zero. There are infinitely many multiples of 3 629 023. The smallest multiples of 3 629 023 are: