345776320 has 56 divisors (see below), whose sum is σ = 825026544. Its totient is φ = 138034176.

The previous prime is 345776317. The next prime is 345776323. The reversal of 345776320 is 23677543.

It is an interprime number because it is at equal distance from previous prime (345776317) and next prime (345776323).

It is a super-2 number, since 2×345776320² = 239122526945484800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345776320.

It is not an unprimeable number, because it can be changed into a prime (345776323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251154 + ... + 252526.

Almost surely, 2^345776320 is an apocalyptic number.

It is an amenable number.

345776320 is an abundant number, since it is smaller than the sum of its proper divisors (479250224).

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

345776320 is a wasteful number, since it uses less digits than its factorization.

345776320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 37.

The square root of 345776320 is about 18595.0617100347. The cubic root of 345776320 is about 701.8835801236.

The spelling of 345776320 in words is "three hundred forty-five million, seven hundred seventy-six thousand, three hundred twenty".