3983319268992 has 1024 divisors, whose sum is σ = 15208213708800. Its totient is φ = 999486259200.

The previous prime is 3983319268939. The next prime is 3983319268997. The reversal of 3983319268992 is 2998629133893.

3983319268992 is a `hidden beast` number, since 398 + 3 + 3 + 1 + 92 + 68 + 9 + 92 = 666.

3983319268992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3983319268992² (a number of 26 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3983319268992.

It is not an unprimeable number, because it can be changed into a prime (3983319268997) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 387816817 + ... + 387827087.

It is an arithmetic number, because the mean of its divisors is an integer number (14851771200).

Almost surely, 2^{3983319268992} is an apocalyptic number.

3983319268992 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 3983319268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7604106854400).

3983319268992 is an abundant number, since it is smaller than the sum of its proper divisors (11224894439808).

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

3983319268992 is a wasteful number, since it uses less digits than its factorization.

3983319268992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10382 (or 10364 counting only the distinct ones).

The product of its digits is 272097792, while the sum is 72.

The spelling of 3983319268992 in words is "three trillion, nine hundred eighty-three billion, three hundred nineteen million, two hundred sixty-eight thousand, nine hundred ninety-two".