31968349504 has 84 divisors (see below), whose sum is σ = 79470871284. Its totient is φ = 12646803456.

The previous prime is 31968349493. The next prime is 31968349507. The reversal of 31968349504 is 40594386913.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6638990400 + 25329359104 = 81480^2 + 159152^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31968349507) 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 11 ways as a sum of consecutive naturals, for example, 351309 + ... + 432844.

It is an arithmetic number, because the mean of its divisors is an integer number (946081801).

Almost surely, 2^31968349504 is an apocalyptic number.

It is an amenable number.

31968349504 is an abundant number, since it is smaller than the sum of its proper divisors (47502521780).

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

31968349504 is a wasteful number, since it uses less digits than its factorization.

31968349504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784192 (or 784175 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 31968349504 in words is "thirty-one billion, nine hundred sixty-eight million, three hundred forty-nine thousand, five hundred four".