3840199396992 has 256 divisors, whose sum is σ = 13714999315200. Its totient is φ = 1032658550784.

The previous prime is 3840199396991. The next prime is 3840199397033. The reversal of 3840199396992 is 2996939910483.

3840199396992 is a `hidden beast` number, since 3 + 8 + 40 + 199 + 396 + 9 + 9 + 2 = 666.

3840199396992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3840199396992.

It is not an unprimeable number, because it can be changed into a prime (3840199396991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4257513 + ... + 5080040.

It is an arithmetic number, because the mean of its divisors is an integer number (53574216075).

Almost surely, 2^{3840199396992} is an apocalyptic number.

3840199396992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3840199396992 is an abundant number, since it is smaller than the sum of its proper divisors (9874799918208).

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

3840199396992 is a wasteful number, since it uses less digits than its factorization.

3840199396992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9337600 (or 9337582 counting only the distinct ones).

The product of its (nonzero) digits is 204073344, while the sum is 72.

The spelling of 3840199396992 in words is "three trillion, eight hundred forty billion, one hundred ninety-nine million, three hundred ninety-six thousand, nine hundred ninety-two".