345916047920 has 40 divisors (see below), whose sum is σ = 807861376896. Its totient is φ = 137745934848.

The previous prime is 345916047913. The next prime is 345916047941. The reversal of 345916047920 is 29740619543.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9677117 + ... + 9712796.

Almost surely, 2^345916047920 is an apocalyptic number.

It is an amenable number.

345916047920 is an abundant number, since it is smaller than the sum of its proper divisors (461945328976).

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

345916047920 is a wasteful number, since it uses less digits than its factorization.

345916047920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19390149 (or 19390143 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 50.

The spelling of 345916047920 in words is "three hundred forty-five billion, nine hundred sixteen million, forty-seven thousand, nine hundred twenty".