3999168748080 has 960 divisors, whose sum is σ = 15671146982400. Its totient is φ = 939286056960.

The previous prime is 3999168748073. The next prime is 3999168748163. The reversal of 3999168748080 is 808478619993.

3999168748080 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 1 + 68 + 7 + 480 + 80 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2128348581 + ... + 2128350459.

It is an arithmetic number, because the mean of its divisors is an integer number (16324111440).

Almost surely, 2^{3999168748080} is an apocalyptic number.

3999168748080 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 3999168748080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7835573491200).

3999168748080 is an abundant number, since it is smaller than the sum of its proper divisors (11671978234320).

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

3999168748080 is a wasteful number, since it uses less digits than its factorization.

3999168748080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 3999168748080 in words is "three trillion, nine hundred ninety-nine billion, one hundred sixty-eight million, seven hundred forty-eight thousand, eighty".