349259520 has 144 divisors (see below), whose sum is σ = 1174400640. Its totient is φ = 88215552.

The previous prime is 349259513. The next prime is 349259549. The reversal of 349259520 is 25952943.

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, 70567 + ... + 75353.

It is an arithmetic number, because the mean of its divisors is an integer number (8155560).

Almost surely, 2^349259520 is an apocalyptic number.

349259520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587200320).

349259520 is an abundant number, since it is smaller than the sum of its proper divisors (825141120).

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

349259520 is a wasteful number, since it uses less digits than its factorization.

349259520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 349259520 is about 18688.4862950427. The cubic root of 349259520 is about 704.2325333779.

The spelling of 349259520 in words is "three hundred forty-nine million, two hundred fifty-nine thousand, five hundred twenty".