31088640384 has 192 divisors, whose sum is σ = 94899168000. Its totient is φ = 9735192576.

The previous prime is 31088640311. The next prime is 31088640419. The reversal of 31088640384 is 48304688013.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13883937 + ... + 13886175.

It is an arithmetic number, because the mean of its divisors is an integer number (494266500).

Almost surely, 2^31088640384 is an apocalyptic number.

31088640384 is a gapful number since it is divisible by the number (34) 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 31088640384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47449584000).

31088640384 is an abundant number, since it is smaller than the sum of its proper divisors (63810527616).

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

31088640384 is a wasteful number, since it uses less digits than its factorization.

31088640384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 31088640384 in words is "thirty-one billion, eighty-eight million, six hundred forty thousand, three hundred eighty-four".