345929347878976 has 63 divisors (see below), whose sum is σ = 724490138097471. Its totient is φ = 163859930907264.

The previous prime is 345929347878953. The next prime is 345929347878977. The reversal of 345929347878976 is 679878743929543.

The square root of 345929347878976 is 18599176.

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

It is a super-2 number, since 2×345929347878976² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345929347878977) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2827013571 + ... + 2827135933.

Almost surely, 2^{345929347878976} is an apocalyptic number.

345929347878976 is the 18599176-th square number.

It is an amenable number.

345929347878976 is an abundant number, since it is smaller than the sum of its proper divisors (378560790218495).

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

345929347878976 is an frugal number, since it uses more digits than its factorization.

345929347878976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244776 (or 122384 counting only the distinct ones).

The product of its digits is 138265989120, while the sum is 91.

The spelling of 345929347878976 in words is "three hundred forty-five trillion, nine hundred twenty-nine billion, three hundred forty-seven million, eight hundred seventy-eight thousand, nine hundred seventy-six".