31254408072 has 96 divisors (see below), whose sum is σ = 87965280000. Its totient is φ = 10014295680.

The previous prime is 31254408071. The next prime is 31254408077. The reversal of 31254408072 is 27080445213.

It is a happy number.

31254408072 is a `hidden beast` number, since 31 + 2 + 544 + 0 + 80 + 7 + 2 = 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 (31254408071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285579 + ... + 379557.

It is an arithmetic number, because the mean of its divisors is an integer number (916305000).

Almost surely, 2^31254408072 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 31254408072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43982640000).

31254408072 is an abundant number, since it is smaller than the sum of its proper divisors (56710871928).

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

31254408072 is a wasteful number, since it uses less digits than its factorization.

31254408072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94171 (or 94164 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 31254408072 in words is "thirty-one billion, two hundred fifty-four million, four hundred eight thousand, seventy-two".