342165589920 has 576 divisors, whose sum is σ = 1460238264576. Its totient is φ = 70880624640.

The previous prime is 342165589919. The next prime is 342165589967. The reversal of 342165589920 is 29985561243.

342165589920 is a `hidden beast` number, since 3 + 42 + 16 + 5 + 589 + 9 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 37361982 + ... + 37371138.

It is an arithmetic number, because the mean of its divisors is an integer number (2535135876).

Almost surely, 2^342165589920 is an apocalyptic number.

342165589920 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 342165589920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730119132288).

342165589920 is an abundant number, since it is smaller than the sum of its proper divisors (1118072674656).

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

342165589920 is a wasteful number, since it uses less digits than its factorization.

342165589920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9533 (or 9522 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 342165589920 in words is "three hundred forty-two billion, one hundred sixty-five million, five hundred eighty-nine thousand, nine hundred twenty".