31042704672 has 144 divisors (see below), whose sum is σ = 101014542720. Its totient is φ = 8858290176.

The previous prime is 31042704647. The next prime is 31042704689. The reversal of 31042704672 is 27640724013.

31042704672 is a `hidden beast` number, since 310 + 4 + 270 + 4 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1682248 + ... + 1700600.

It is an arithmetic number, because the mean of its divisors is an integer number (701489880).

Almost surely, 2^31042704672 is an apocalyptic number.

31042704672 is a gapful number since it is divisible by the number (32) 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 31042704672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50507271360).

31042704672 is an abundant number, since it is smaller than the sum of its proper divisors (69971838048).

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

31042704672 is a wasteful number, since it uses less digits than its factorization.

31042704672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19215 (or 19204 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 31042704672 in words is "thirty-one billion, forty-two million, seven hundred four thousand, six hundred seventy-two".