346485504 has 144 divisors (see below), whose sum is σ = 977195520. Its totient is φ = 108810240.

The previous prime is 346485497. The next prime is 346485523. The reversal of 346485504 is 405584643.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1046619 + ... + 1046949.

It is an arithmetic number, because the mean of its divisors is an integer number (6786080).

Almost surely, 2^346485504 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 346485504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488597760).

346485504 is an abundant number, since it is smaller than the sum of its proper divisors (630710016).

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

346485504 is a wasteful number, since it uses less digits than its factorization.

346485504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The square root of 346485504 is about 18614.1210912576. The cubic root of 346485504 is about 702.3631046600.

The spelling of 346485504 in words is "three hundred forty-six million, four hundred eighty-five thousand, five hundred four".