31979453584 has 135 divisors (see below), whose sum is σ = 71203428459. Its totient is φ = 13905665280.

The previous prime is 31979453581. The next prime is 31979453617. The reversal of 31979453584 is 48535497913.

It is a happy number.

The square root of 31979453584 is 178828.

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

It can be written as a sum of positive squares in 4 ways, for example, as 24630163600 + 7349289984 = 156940^2 + 85728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31979453581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 176681974 + ... + 176682154.

Almost surely, 2^31979453584 is an apocalyptic number.

31979453584 is the 178828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31979453584

31979453584 is an abundant number, since it is smaller than the sum of its proper divisors (39223974875).

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

31979453584 is a wasteful number, since it uses less digits than its factorization.

31979453584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 215 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 58.

The spelling of 31979453584 in words is "thirty-one billion, nine hundred seventy-nine million, four hundred fifty-three thousand, five hundred eighty-four".