31922839872 has 672 divisors, whose sum is σ = 119854675200. Its totient is φ = 8047226880.

The previous prime is 31922839867. The next prime is 31922839913. The reversal of 31922839872 is 27893822913.

31922839872 is a `hidden beast` number, since 319 + 228 + 39 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80409978 + ... + 80410374.

Almost surely, 2^31922839872 is an apocalyptic number.

31922839872 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 31922839872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59927337600).

31922839872 is an abundant number, since it is smaller than the sum of its proper divisors (87931835328).

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

31922839872 is a wasteful number, since it uses less digits than its factorization.

31922839872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 457 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 31922839872 in words is "thirty-one billion, nine hundred twenty-two million, eight hundred thirty-nine thousand, eight hundred seventy-two".