342433825344 has 112 divisors (see below), whose sum is σ = 1084129952640. Its totient is φ = 105364247040.

The previous prime is 342433825313. The next prime is 342433825351. The reversal of 342433825344 is 443528334243.

342433825344 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 33 + 82 + 534 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 342433825344.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7599372 + ... + 7644299.

It is an arithmetic number, because the mean of its divisors is an integer number (9679731720).

Almost surely, 2^342433825344 is an apocalyptic number.

It is an amenable number.

342433825344 is an abundant number, since it is smaller than the sum of its proper divisors (741696127296).

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

342433825344 is a wasteful number, since it uses less digits than its factorization.

342433825344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15243705 (or 15243689 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 45.

The spelling of 342433825344 in words is "three hundred forty-two billion, four hundred thirty-three million, eight hundred twenty-five thousand, three hundred forty-four".