346879520 has 96 divisors (see below), whose sum is σ = 894136320. Its totient is φ = 126397440.

The previous prime is 346879513. The next prime is 346879531. The reversal of 346879520 is 25978643.

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 15 ways as a sum of consecutive naturals, for example, 163265 + ... + 165375.

It is an arithmetic number, because the mean of its divisors is an integer number (9313920).

Almost surely, 2^346879520 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 346879520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447068160).

346879520 is an abundant number, since it is smaller than the sum of its proper divisors (547256800).

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

346879520 is a wasteful number, since it uses less digits than its factorization.

346879520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 346879520 is about 18624.7018768087. The cubic root of 346879520 is about 702.6292413018.

The spelling of 346879520 in words is "three hundred forty-six million, eight hundred seventy-nine thousand, five hundred twenty".