346516704 has 120 divisors (see below), whose sum is σ = 1043131320. Its totient is φ = 112783104.

The previous prime is 346516693. The next prime is 346516739. The reversal of 346516704 is 407615643.

It is a happy number.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109902 + ... + 113010.

It is an arithmetic number, because the mean of its divisors is an integer number (8692761).

Almost surely, 2^346516704 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 346516704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521565660).

346516704 is an abundant number, since it is smaller than the sum of its proper divisors (696614616).

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

346516704 is a wasteful number, since it uses less digits than its factorization.

346516704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 346516704 is about 18614.9591458053. The cubic root of 346516704 is about 702.3841859374.

The spelling of 346516704 in words is "three hundred forty-six million, five hundred sixteen thousand, seven hundred four".