3715198920864 has 672 divisors, whose sum is σ = 12076722786240. Its totient is φ = 1119296102400.

The previous prime is 3715198920859. The next prime is 3715198920959. The reversal of 3715198920864 is 4680298915173.

3715198920864 is a `hidden beast` number, since 37 + 1 + 519 + 8 + 9 + 2 + 0 + 86 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2426647779 + ... + 2426649309.

It is an arithmetic number, because the mean of its divisors is an integer number (17971313670).

It is a 1-persistent number, because it is pandigital, but 2⋅3715198920864 = 7430397841728 is not.

Almost surely, 2^{3715198920864} is an apocalyptic number.

3715198920864 is a gapful number since it is divisible by the number (34) 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 3715198920864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038361393120).

3715198920864 is an abundant number, since it is smaller than the sum of its proper divisors (8361523865376).

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

3715198920864 is a wasteful number, since it uses less digits than its factorization.

3715198920864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 3715198920864 in words is "three trillion, seven hundred fifteen billion, one hundred ninety-eight million, nine hundred twenty thousand, eight hundred sixty-four".