31791308976 has 480 divisors, whose sum is σ = 111215104000. Its totient is φ = 8778792960.

The previous prime is 31791308947. The next prime is 31791308999. The reversal of 31791308976 is 67980319713.

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

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 95 ways as a sum of consecutive naturals, for example, 41340720 + ... + 41341488.

Almost surely, 2^31791308976 is an apocalyptic number.

31791308976 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 31791308976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55607552000).

31791308976 is an abundant number, since it is smaller than the sum of its proper divisors (79423795024).

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

31791308976 is an equidigital number, since it uses as much as digits as its factorization.

31791308976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 31791308976 in words is "thirty-one billion, seven hundred ninety-one million, three hundred eight thousand, nine hundred seventy-six".