31604035680 has 864 divisors, whose sum is σ = 132981567264. Its totient is φ = 7064838144.

The previous prime is 31604035667. The next prime is 31604035693. The reversal of 31604035680 is 8653040613.

31604035680 is a `hidden beast` number, since 31 + 60 + 4 + 0 + 3 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31604035667) and next prime (31604035693).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 100971204 + ... + 100971516.

It is an arithmetic number, because the mean of its divisors is an integer number (153913851).

Almost surely, 2^31604035680 is an apocalyptic number.

31604035680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31604035680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66490783632).

31604035680 is an abundant number, since it is smaller than the sum of its proper divisors (101377531584).

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

31604035680 is a wasteful number, since it uses less digits than its factorization.

31604035680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 31604035680 in words is "thirty-one billion, six hundred four million, thirty-five thousand, six hundred eighty".