349920560 has 160 divisors (see below), whose sum is σ = 932511744. Its totient is φ = 120960000.

The previous prime is 349920521. The next prime is 349920577. The reversal of 349920560 is 65029943.

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, 2755217 + ... + 2755343.

Almost surely, 2^349920560 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 349920560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466255872).

349920560 is an abundant number, since it is smaller than the sum of its proper divisors (582591184).

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

349920560 is a wasteful number, since it uses less digits than its factorization.

349920560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 349920560 is about 18706.1636900782. The cubic root of 349920560 is about 704.6765513234.

The spelling of 349920560 in words is "three hundred forty-nine million, nine hundred twenty thousand, five hundred sixty".