345715776576 has 63 divisors (see below), whose sum is σ = 990972302151. Its totient is φ = 115233888384.

The previous prime is 345715776557. The next prime is 345715776599. The reversal of 345715776576 is 675677517543.

The square root of 345715776576 is 587976.

It is a perfect power (a square), and thus also a powerful number.

345715776576 is a `hidden beast` number, since 3 + 4 + 5 + 7 + 1 + 57 + 7 + 6 + 576 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14099175 + ... + 14123673.

Almost surely, 2^345715776576 is an apocalyptic number.

345715776576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

345715776576 is the 587976-th square number.

It is an amenable number.

345715776576 is an abundant number, since it is smaller than the sum of its proper divisors (645256525575).

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

345715776576 is an frugal number, since it uses more digits than its factorization.

345715776576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49016 (or 24504 counting only the distinct ones).

The product of its digits is 129654000, while the sum is 63.

The spelling of 345715776576 in words is "three hundred forty-five billion, seven hundred fifteen million, seven hundred seventy-six thousand, five hundred seventy-six".