3137792256 has 135 divisors (see below), whose sum is σ = 9380442841. Its totient is φ = 1043241984.

The previous prime is 3137792233. The next prime is 3137792267. The reversal of 3137792256 is 6522977313.

The square root of 3137792256 is 56016.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 740710656 + 2397081600 = 27216^2 + 48960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8066110 + ... + 8066498.

Almost surely, 2^3137792256 is an apocalyptic number.

3137792256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3137792256 is the 56016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3137792256

3137792256 is an abundant number, since it is smaller than the sum of its proper divisors (6242650585).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3137792256 is an frugal number, since it uses more digits than its factorization.

3137792256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 394 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The cubic root of 3137792256 is about 1464.0010749791.

The spelling of 3137792256 in words is "three billion, one hundred thirty-seven million, seven hundred ninety-two thousand, two hundred fifty-six".