31409763984 has 135 divisors (see below), whose sum is σ = 91447167747. Its totient is φ = 10450780704.

The previous prime is 31409763967. The next prime is 31409763989. The reversal of 31409763984 is 48936790413.

It is a happy number.

The square root of 31409763984 is 177228.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 31409763984.

It is not an unprimeable number, because it can be changed into a prime (31409763989) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57421599 + ... + 57422145.

Almost surely, 2^31409763984 is an apocalyptic number.

31409763984 is the 177228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31409763984

31409763984 is an abundant number, since it is smaller than the sum of its proper divisors (60037403763).

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

31409763984 is an frugal number, since it uses more digits than its factorization.

31409763984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 31409763984 in words is "thirty-one billion, four hundred nine million, seven hundred sixty-three thousand, nine hundred eighty-four".