31797904320 has 1680 divisors, whose sum is σ = 150641840448. Its totient is φ = 6210846720.

The previous prime is 31797904289. The next prime is 31797904339. The reversal of 31797904320 is 2340979713.

31797904320 is a `hidden beast` number, since 317 + 9 + 7 + 9 + 0 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×31797904320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 521277090 + ... + 521277150.

Almost surely, 2^31797904320 is an apocalyptic number.

31797904320 is a gapful number since it is divisible by the number (30) 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 31797904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75320920224).

31797904320 is an abundant number, since it is smaller than the sum of its proper divisors (118843936128).

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

31797904320 is a wasteful number, since it uses less digits than its factorization.

31797904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 31797904320 in words is "thirty-one billion, seven hundred ninety-seven million, nine hundred four thousand, three hundred twenty".