3999715877160 has 384 divisors, whose sum is σ = 13576462099200. Its totient is φ = 1059023185920.

The previous prime is 3999715877159. The next prime is 3999715877237. The reversal of 3999715877160 is 617785179993.

3999715877160 is a `hidden beast` number, since 39 + 9 + 9 + 7 + 1 + 587 + 7 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1089542125 + ... + 1089545795.

It is an arithmetic number, because the mean of its divisors is an integer number (35355370050).

Almost surely, 2^{3999715877160} is an apocalyptic number.

3999715877160 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 3999715877160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788231049600).

3999715877160 is an abundant number, since it is smaller than the sum of its proper divisors (9576746222040).

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

3999715877160 is a wasteful number, since it uses less digits than its factorization.

3999715877160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 180033840, while the sum is 72.

The spelling of 3999715877160 in words is "three trillion, nine hundred ninety-nine billion, seven hundred fifteen million, eight hundred seventy-seven thousand, one hundred sixty".