349341520 has 120 divisors (see below), whose sum is σ = 902442240. Its totient is φ = 125664000.

The previous prime is 349341469. The next prime is 349341539. The reversal of 349341520 is 25143943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1461561 + ... + 1461799.

It is an arithmetic number, because the mean of its divisors is an integer number (7520352).

Almost surely, 2^349341520 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 349341520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451221120).

349341520 is an abundant number, since it is smaller than the sum of its proper divisors (553100720).

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

349341520 is a wasteful number, since it uses less digits than its factorization.

349341520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 349341520 is about 18690.6800304323. The cubic root of 349341520 is about 704.2876428745.

The spelling of 349341520 in words is "three hundred forty-nine million, three hundred forty-one thousand, five hundred twenty".