345086568 has 120 divisors (see below), whose sum is σ = 995944950. Its totient is φ = 111632256.

The previous prime is 345086561. The next prime is 345086579. The reversal of 345086568 is 865680543.

345086568 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 86 + 568 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 343064484 + 2022084 = 18522^2 + 1422^2 .

It is not an unprimeable number, because it can be changed into a prime (345086561) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 886918 + ... + 887306.

Almost surely, 2^345086568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345086568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497972475).

345086568 is an abundant number, since it is smaller than the sum of its proper divisors (650858382).

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

345086568 is a wasteful number, since it uses less digits than its factorization.

345086568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 345086568 is about 18576.5058070672. The cubic root of 345086568 is about 701.4165654262.

The spelling of 345086568 in words is "three hundred forty-five million, eighty-six thousand, five hundred sixty-eight".