It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 6 338 674 is not a prime number.
For example, 6 338 674 can be divided by 2: 6 338 674 / 2 = 3 169 337.
For 6 338 674 to be a prime number, it would have been required that 6 338 674 has only two divisors, i.e., itself and 1.
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6 338 674 is an even number, because it is evenly divisible by 2: 6 338 674 / 2 = 3 169 337.
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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 6 338 674 is about 2 517.672.
Thus, the square root of 6 338 674 is not an integer, and therefore 6 338 674 is not a square number.
The square of a number (here 6 338 674) is the result of the product of this number (6 338 674) by itself (i.e., 6 338 674 × 6 338 674); the square of 6 338 674 is sometimes called "raising 6 338 674 to the power 2", or "6 338 674 squared".
The square of 6 338 674 is 40 178 788 078 276 because 6 338 674 × 6 338 674 = 6 338 6742 = 40 178 788 078 276.
As a consequence, 6 338 674 is the square root of 40 178 788 078 276.
The multiples of 6 338 674 are all integers evenly divisible by 6 338 674, that is all numbers such that the remainder of the division by 6 338 674 is zero. There are infinitely many multiples of 6 338 674. The smallest multiples of 6 338 674 are: