31680036960 has 384 divisors, whose sum is σ = 117975191040. Its totient is φ = 7086643200.

The previous prime is 31680036959. The next prime is 31680036967. The reversal of 31680036960 is 6963008613.

31680036960 is a modest number, since divided by 36960 gives 31680 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31680036967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11598795 + ... + 11601525.

It is an arithmetic number, because the mean of its divisors is an integer number (307227060).

Almost surely, 2^31680036960 is an apocalyptic number.

31680036960 is a gapful number since it is divisible by the number (30) 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 31680036960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58987595520).

31680036960 is an abundant number, since it is smaller than the sum of its proper divisors (86295154080).

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

31680036960 is a wasteful number, since it uses less digits than its factorization.

31680036960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 31680036960 in words is "thirty-one billion, six hundred eighty million, thirty-six thousand, nine hundred sixty".