345364404 has 96 divisors (see below), whose sum is σ = 1012300800. Its totient is φ = 89026560.

The previous prime is 345364399. The next prime is 345364421. The reversal of 345364404 is 404463543.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127092 + ... + 129780.

It is an arithmetic number, because the mean of its divisors is an integer number (10544800).

Almost surely, 2^345364404 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 345364404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506150400).

345364404 is an abundant number, since it is smaller than the sum of its proper divisors (666936396).

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

345364404 is a wasteful number, since it uses less digits than its factorization.

345364404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The square root of 345364404 is about 18583.9824580201. The cubic root of 345364404 is about 701.6047563654.

The spelling of 345364404 in words is "three hundred forty-five million, three hundred sixty-four thousand, four hundred four".