31304931840 has 1440 divisors, whose sum is σ = 142633370880. Its totient is φ = 6521389056.

The previous prime is 31304931821. The next prime is 31304931851. The reversal of 31304931840 is 4813940313.

31304931840 is a `hidden beast` number, since 31 + 304 + 9 + 318 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 31304931795 and 31304931804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 396264921 + ... + 396264999.

It is an arithmetic number, because the mean of its divisors is an integer number (99050952).

Almost surely, 2^31304931840 is an apocalyptic number.

31304931840 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 31304931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71316685440).

31304931840 is an abundant number, since it is smaller than the sum of its proper divisors (111328439040).

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

31304931840 is an equidigital number, since it uses as much as digits as its factorization.

31304931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 31304931840 in words is "thirty-one billion, three hundred four million, nine hundred thirty-one thousand, eight hundred forty".