345504564 has 18 divisors (see below), whose sum is σ = 873358850. Its totient is φ = 115168176.

The previous prime is 345504563. The next prime is 345504587. The reversal of 345504564 is 465405543.

345504564 is a `hidden beast` number, since 3 + 4 + 550 + 45 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 334890000 + 10614564 = 18300^2 + 3258^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 9597349 = 345504564 / (3 + 4 + 5 + 5 + 0 + 4 + 5 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345504563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4798639 + ... + 4798710.

Almost surely, 2^345504564 is an apocalyptic number.

It is an amenable number.

345504564 is an abundant number, since it is smaller than the sum of its proper divisors (527854286).

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

345504564 is a wasteful number, since it uses less digits than its factorization.

345504564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9597359 (or 9597354 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 345504564 is about 18587.7530648543. The cubic root of 345504564 is about 701.6996547990.

The spelling of 345504564 in words is "three hundred forty-five million, five hundred four thousand, five hundred sixty-four".