31791928896 has 448 divisors, whose sum is σ = 115769704960. Its totient is φ = 8330895360.

The previous prime is 31791928829. The next prime is 31791928969. The reversal of 31791928896 is 69882919713.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×31791928896³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 28461330 + ... + 28462446.

It is an arithmetic number, because the mean of its divisors is an integer number (258414520).

Almost surely, 2^31791928896 is an apocalyptic number.

31791928896 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 31791928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57884852480).

31791928896 is an abundant number, since it is smaller than the sum of its proper divisors (83977776064).

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

31791928896 is a wasteful number, since it uses less digits than its factorization.

31791928896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1323 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 63.

The spelling of 31791928896 in words is "thirty-one billion, seven hundred ninety-one million, nine hundred twenty-eight thousand, eight hundred ninety-six".