345938976 has 72 divisors (see below), whose sum is σ = 1007792604. Its totient is φ = 112496640.

The previous prime is 345938963. The next prime is 345938987. The reversal of 345938976 is 679839543.

It can be written as a sum of positive squares in 2 ways, for example, as 334890000 + 11048976 = 18300^2 + 3324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2841 + ... + 26456.

Almost surely, 2^345938976 is an apocalyptic number.

345938976 is a gapful number since it is divisible by the number (36) 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 345938976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503896302).

345938976 is an abundant number, since it is smaller than the sum of its proper divisors (661853628).

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

345938976 is a wasteful number, since it uses less digits than its factorization.

345938976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29354 (or 29343 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 345938976 is about 18599.4348301232. The cubic root of 345938976 is about 701.9936201237.

The spelling of 345938976 in words is "three hundred forty-five million, nine hundred thirty-eight thousand, nine hundred seventy-six".