3131763264 has 210 divisors, whose sum is σ = 10800081270. Its totient is φ = 894716928.

The previous prime is 3131763259. The next prime is 3131763289. The reversal of 3131763264 is 4623671313.

3131763264 is a `hidden beast` number, since 3 + 1 + 3 + 17 + 632 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1625702400 + 1506060864 = 40320^2 + 38808^2 .

It is a super-2 number, since 2×3131763264² = 19615882283479867392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 247852 + ... + 260180.

Almost surely, 2^3131763264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400040635).

3131763264 is an abundant number, since it is smaller than the sum of its proper divisors (7668318006).

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

3131763264 is a wasteful number, since it uses less digits than its factorization.

3131763264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12367 (or 12341 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3131763264 is about 55962.1592149552. The cubic root of 3131763264 is about 1463.0628240079.

The spelling of 3131763264 in words is "three billion, one hundred thirty-one million, seven hundred sixty-three thousand, two hundred sixty-four".