345560904 has 320 divisors, whose sum is σ = 1170892800. Its totient is φ = 94058496.

The previous prime is 345560899. The next prime is 345560911. The reversal of 345560904 is 409065543.

It is a happy number.

345560904 is a `hidden beast` number, since 3 + 4 + 5 + 560 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2720889 + ... + 2721015.

It is an arithmetic number, because the mean of its divisors is an integer number (3659040).

Almost surely, 2^345560904 is an apocalyptic number.

345560904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345560904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585446400).

345560904 is an abundant number, since it is smaller than the sum of its proper divisors (825331896).

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

345560904 is a wasteful number, since it uses less digits than its factorization.

345560904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 345560904 is about 18589.2685170773. The cubic root of 345560904 is about 701.7377938126.

The spelling of 345560904 in words is "three hundred forty-five million, five hundred sixty thousand, nine hundred four".