338740792992 has 144 divisors (see below), whose sum is σ = 1149299262720. Its totient is φ = 96783071616.

The previous prime is 338740792987. The next prime is 338740793011. The reversal of 338740792992 is 299297047833.

338740792992 is a `hidden beast` number, since 338 + 7 + 4 + 0 + 7 + 9 + 299 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×338740792992² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3958288 + ... + 4042959.

It is an arithmetic number, because the mean of its divisors is an integer number (7981244880).

Almost surely, 2^338740792992 is an apocalyptic number.

338740792992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

338740792992 is an abundant number, since it is smaller than the sum of its proper divisors (810558469728).

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

338740792992 is a wasteful number, since it uses less digits than its factorization.

338740792992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8001280 (or 8001259 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 338740792992 in words is "three hundred thirty-eight billion, seven hundred forty million, seven hundred ninety-two thousand, nine hundred ninety-two".