31976140896 has 432 divisors, whose sum is σ = 114967157760. Its totient is φ = 8373818880.

The previous prime is 31976140849. The next prime is 31976140907. The reversal of 31976140896 is 69804167913.

31976140896 is a `hidden beast` number, since 3 + 1 + 97 + 61 + 408 + 96 = 666.

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 71 ways as a sum of consecutive naturals, for example, 8310045 + ... + 8313891.

It is an arithmetic number, because the mean of its divisors is an integer number (266127680).

Almost surely, 2^31976140896 is an apocalyptic number.

31976140896 is a gapful number since it is divisible by the number (36) 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 31976140896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57483578880).

31976140896 is an abundant number, since it is smaller than the sum of its proper divisors (82991016864).

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

31976140896 is a wasteful number, since it uses less digits than its factorization.

31976140896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 31976140896 in words is "thirty-one billion, nine hundred seventy-six million, one hundred forty thousand, eight hundred ninety-six".