349527320 has 64 divisors (see below), whose sum is σ = 832343040. Its totient is φ = 131824000.

The previous prime is 349527313. The next prime is 349527331. The reversal of 349527320 is 23725943.

It is a congruent number.

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, 62645 + ... + 67995.

It is an arithmetic number, because the mean of its divisors is an integer number (13005360).

Almost surely, 2^349527320 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 349527320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416171520).

349527320 is an abundant number, since it is smaller than the sum of its proper divisors (482815720).

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

349527320 is a wasteful number, since it uses less digits than its factorization.

349527320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5456 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 349527320 is about 18695.6497613750. The cubic root of 349527320 is about 704.4124810289.

The spelling of 349527320 in words is "three hundred forty-nine million, five hundred twenty-seven thousand, three hundred twenty".