31908684672 has 256 divisors, whose sum is σ = 96009580800. Its totient is φ = 10431092736.

The previous prime is 31908684653. The next prime is 31908684677. The reversal of 31908684672 is 27648680913.

31908684672 is a `hidden beast` number, since 31 + 90 + 8 + 68 + 467 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31908684677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49624383 + ... + 49625025.

It is an arithmetic number, because the mean of its divisors is an integer number (375037425).

Almost surely, 2^31908684672 is an apocalyptic number.

31908684672 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 31908684672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48004790400).

31908684672 is an abundant number, since it is smaller than the sum of its proper divisors (64100896128).

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

31908684672 is a wasteful number, since it uses less digits than its factorization.

31908684672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 31908684672 in words is "thirty-one billion, nine hundred eight million, six hundred eighty-four thousand, six hundred seventy-two".