3131398656 has 320 divisors, whose sum is σ = 9810979200. Its totient is φ = 984711168.

The previous prime is 3131398651. The next prime is 3131398663. The reversal of 3131398656 is 6568931313.

It is not an unprimeable number, because it can be changed into a prime (3131398651) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29265355 + ... + 29265461.

It is an arithmetic number, because the mean of its divisors is an integer number (30659310).

Almost surely, 2^3131398656 is an apocalyptic number.

3131398656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131398656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905489600).

3131398656 is an abundant number, since it is smaller than the sum of its proper divisors (6679580544).

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

3131398656 is a wasteful number, since it uses less digits than its factorization.

3131398656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 214 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 3131398656 is about 55958.9014902902. The cubic root of 3131398656 is about 1463.0060439484.

The spelling of 3131398656 in words is "three billion, one hundred thirty-one million, three hundred ninety-eight thousand, six hundred fifty-six".