339796892160 has 1920 divisors, whose sum is σ = 1482529112064. Its totient is φ = 73574645760.

The previous prime is 339796892111. The next prime is 339796892167. The reversal of 339796892160 is 61298697933.

339796892160 is a `hidden beast` number, since 3 + 397 + 9 + 6 + 89 + 2 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (339796892167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2675566017 + ... + 2675566143.

Almost surely, 2^339796892160 is an apocalyptic number.

339796892160 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 339796892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741264556032).

339796892160 is an abundant number, since it is smaller than the sum of its proper divisors (1142732219904).

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

339796892160 is a wasteful number, since it uses less digits than its factorization.

339796892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 339796892160 in words is "three hundred thirty-nine billion, seven hundred ninety-six million, eight hundred ninety-two thousand, one hundred sixty".