31296811392 has 384 divisors, whose sum is σ = 112695148800. Its totient is φ = 8099205120.

The previous prime is 31296811373. The next prime is 31296811417. The reversal of 31296811392 is 29311869213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34505403 + ... + 34506309.

It is an arithmetic number, because the mean of its divisors is an integer number (293476950).

Almost surely, 2^31296811392 is an apocalyptic number.

31296811392 is a gapful number since it is divisible by the number (32) 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 31296811392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56347574400).

31296811392 is an abundant number, since it is smaller than the sum of its proper divisors (81398337408).

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

31296811392 is a wasteful number, since it uses less digits than its factorization.

31296811392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1319 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The spelling of 31296811392 in words is "thirty-one billion, two hundred ninety-six million, eight hundred eleven thousand, three hundred ninety-two".