31880024064 has 780 divisors, whose sum is σ = 115924307004. Its totient is φ = 8695185408.

The previous prime is 31880024053. The next prime is 31880024081. The reversal of 31880024064 is 46042008813.

It can be written as a sum of positive squares in 2 ways, for example, as 26011238400 + 5868785664 = 161280^2 + 76608^2 .

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 59 ways as a sum of consecutive naturals, for example, 601509862 + ... + 601509914.

Almost surely, 2^31880024064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31880024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57962153502).

31880024064 is an abundant number, since it is smaller than the sum of its proper divisors (84044282940).

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

31880024064 is an equidigital number, since it uses as much as digits as its factorization.

31880024064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 31880024064 in words is "thirty-one billion, eight hundred eighty million, twenty-four thousand, sixty-four".