345125504 has 64 divisors (see below), whose sum is σ = 703261440. Its totient is φ = 168677376.

The previous prime is 345125479. The next prime is 345125527. The reversal of 345125504 is 405521543.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×345125504² = 238223227022508032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1547537 + ... + 1547759.

It is an arithmetic number, because the mean of its divisors is an integer number (10988460).

Almost surely, 2^345125504 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 345125504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351630720).

345125504 is an abundant number, since it is smaller than the sum of its proper divisors (358135936).

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

345125504 is a wasteful number, since it uses less digits than its factorization.

345125504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 345125504 is about 18577.5537679211. The cubic root of 345125504 is about 701.4429446315.

The spelling of 345125504 in words is "three hundred forty-five million, one hundred twenty-five thousand, five hundred four".