345636864 has 108 divisors (see below), whose sum is σ = 1001910546. Its totient is φ = 114819072.

The previous prime is 345636859. The next prime is 345636917. The reversal of 345636864 is 468636543.

345636864 is a `hidden beast` number, since 3 + 4 + 5 + 636 + 8 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 212926464 + 132710400 = 14592^2 + 11520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1179502 + ... + 1179794.

Almost surely, 2^345636864 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 345636864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500955273).

345636864 is an abundant number, since it is smaller than the sum of its proper divisors (656273682).

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

345636864 is an frugal number, since it uses more digits than its factorization.

345636864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 298 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 345636864 is about 18591.3115190941. The cubic root of 345636864 is about 701.7892079020.

The spelling of 345636864 in words is "three hundred forty-five million, six hundred thirty-six thousand, eight hundred sixty-four".