31780905984 has 165 divisors, whose sum is σ = 95057564547. Its totient is φ = 10576521216.

The previous prime is 31780905967. The next prime is 31780906049. The reversal of 31780905984 is 48950908713.

The square root of 31780905984 is 178272.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 31780905984.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 51342027 + ... + 51342645.

Almost surely, 2^31780905984 is an apocalyptic number.

31780905984 is the 178272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31780905984

31780905984 is an abundant number, since it is smaller than the sum of its proper divisors (63276658563).

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

31780905984 is an frugal number, since it uses more digits than its factorization.

31780905984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 31780905984 in words is "thirty-one billion, seven hundred eighty million, nine hundred five thousand, nine hundred eighty-four".