31977400320 has 576 divisors, whose sum is σ = 117195361920. Its totient is φ = 8360755200.

The previous prime is 31977400309. The next prime is 31977400369. The reversal of 31977400320 is 2300477913.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×31977400320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176670630 + ... + 176670810.

It is an arithmetic number, because the mean of its divisors is an integer number (203464170).

Almost surely, 2^31977400320 is an apocalyptic number.

31977400320 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 31977400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58597680960).

31977400320 is an abundant number, since it is smaller than the sum of its proper divisors (85217961600).

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

31977400320 is an equidigital number, since it uses as much as digits as its factorization.

31977400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 31977400320 in words is "thirty-one billion, nine hundred seventy-seven million, four hundred thousand, three hundred twenty".