31474406304 has 384 divisors, whose sum is σ = 105362933760. Its totient is φ = 9047808000.

The previous prime is 31474406303. The next prime is 31474406311. The reversal of 31474406304 is 40360447413.

31474406304 is a `hidden beast` number, since 3 + 14 + 7 + 4 + 4 + 0 + 630 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (31474406303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29946579 + ... + 29947629.

It is an arithmetic number, because the mean of its divisors is an integer number (274382640).

Almost surely, 2^31474406304 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 31474406304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52681466880).

31474406304 is an abundant number, since it is smaller than the sum of its proper divisors (73888527456).

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

31474406304 is a wasteful number, since it uses less digits than its factorization.

31474406304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 31474406304 in words is "thirty-one billion, four hundred seventy-four million, four hundred six thousand, three hundred four".