3690831336192 has 1152 divisors, whose sum is σ = 14833215774720. Its totient is φ = 874116956160.

The previous prime is 3690831336187. The next prime is 3690831336239. The reversal of 3690831336192 is 2916331380963.

3690831336192 is a `hidden beast` number, since 3 + 6 + 9 + 0 + 8 + 3 + 13 + 3 + 619 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 127 ways as a sum of consecutive naturals, for example, 574266483 + ... + 574272909.

It is an arithmetic number, because the mean of its divisors is an integer number (12876055360).

Almost surely, 2^{3690831336192} is an apocalyptic number.

3690831336192 is a gapful number since it is divisible by the number (32) 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 3690831336192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7416607887360).

3690831336192 is an abundant number, since it is smaller than the sum of its proper divisors (11142384438528).

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

3690831336192 is a wasteful number, since it uses less digits than its factorization.

3690831336192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6566 (or 6546 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 3690831336192 in words is "three trillion, six hundred ninety billion, eight hundred thirty-one million, three hundred thirty-six thousand, one hundred ninety-two".