31935912768 has 140 divisors (see below), whose sum is σ = 100237035492. Its totient is φ = 10019082240.

The previous prime is 31935912731. The next prime is 31935912769. The reversal of 31935912768 is 86721953913.

31935912768 is a `hidden beast` number, since 3 + 19 + 359 + 1 + 276 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21977469504 + 9958443264 = 148248^2 + 99792^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31935912769) 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 19 ways as a sum of consecutive naturals, for example, 93063 + ... + 269318.

Almost surely, 2^31935912768 is an apocalyptic number.

It is an amenable number.

31935912768 is an abundant number, since it is smaller than the sum of its proper divisors (68301122724).

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

31935912768 is a wasteful number, since it uses less digits than its factorization.

31935912768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362422 (or 362403 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 31935912768 in words is "thirty-one billion, nine hundred thirty-five million, nine hundred twelve thousand, seven hundred sixty-eight".