3983036168160 has 768 divisors, whose sum is σ = 16229096755200. Its totient is φ = 893555712000.

The previous prime is 3983036168147. The next prime is 3983036168201. The reversal of 3983036168160 is 618616303893.

3983036168160 is a `hidden beast` number, since 3 + 9 + 8 + 3 + 0 + 3 + 616 + 8 + 16 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3983036168097 and 3983036168106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 491668110 + ... + 491676210.

It is an arithmetic number, because the mean of its divisors is an integer number (21131636400).

Almost surely, 2^{3983036168160} is an apocalyptic number.

3983036168160 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 3983036168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8114548377600).

3983036168160 is an abundant number, since it is smaller than the sum of its proper divisors (12246060587040).

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

3983036168160 is a wasteful number, since it uses less digits than its factorization.

3983036168160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8432 (or 8418 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3983036168160 in words is "three trillion, nine hundred eighty-three billion, thirty-six million, one hundred sixty-eight thousand, one hundred sixty".