31315374720 has 576 divisors, whose sum is σ = 126692060040. Its totient is φ = 7106641920.

The previous prime is 31315374697. The next prime is 31315374737. The reversal of 31315374720 is 2747351313.

31315374720 is a `hidden beast` number, since 3 + 131 + 53 + 7 + 472 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4814139456 + 26501235264 = 69384^2 + 162792^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51085134 + ... + 51085746.

Almost surely, 2^31315374720 is an apocalyptic number.

31315374720 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 31315374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63346030020).

31315374720 is an abundant number, since it is smaller than the sum of its proper divisors (95376685320).

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

31315374720 is a wasteful number, since it uses less digits than its factorization.

31315374720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 31315374720 in words is "thirty-one billion, three hundred fifteen million, three hundred seventy-four thousand, seven hundred twenty".