345965600 has 36 divisors (see below), whose sum is σ = 844590474. Its totient is φ = 138385920.

The previous prime is 345965597. The next prime is 345965603. The reversal of 345965600 is 6569543.

It is an interprime number because it is at equal distance from previous prime (345965597) and next prime (345965603).

It can be written as a sum of positive squares in 3 ways, for example, as 181818256 + 164147344 = 13484^2 + 12812^2 .

It is not an unprimeable number, because it can be changed into a prime (345965603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215429 + ... + 217028.

Almost surely, 2^345965600 is an apocalyptic number.

It is an amenable number.

345965600 is an abundant number, since it is smaller than the sum of its proper divisors (498624874).

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

345965600 is a wasteful number, since it uses less digits than its factorization.

345965600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432477 (or 432464 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 38.

The square root of 345965600 is about 18600.1505370252. The cubic root of 345965600 is about 702.0116285009.

The spelling of 345965600 in words is "three hundred forty-five million, nine hundred sixty-five thousand, six hundred".