31374678720 has 896 divisors, whose sum is σ = 132726988800. Its totient is φ = 6082560000.

The previous prime is 31374678703. The next prime is 31374678743. The reversal of 31374678720 is 2787647313.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 31374678720.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124998595 + ... + 124998845.

It is an arithmetic number, because the mean of its divisors is an integer number (148132800).

Almost surely, 2^31374678720 is an apocalyptic number.

31374678720 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 31374678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66363494400).

31374678720 is an abundant number, since it is smaller than the sum of its proper divisors (101352310080).

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

31374678720 is a wasteful number, since it uses less digits than its factorization.

31374678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 31374678720 in words is "thirty-one billion, three hundred seventy-four million, six hundred seventy-eight thousand, seven hundred twenty".