349345920 has 512 divisors, whose sum is σ = 1480550400. Its totient is φ = 67829760.

The previous prime is 349345901. The next prime is 349345933. The reversal of 349345920 is 29543943.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2513211 + ... + 2513349.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 2^349345920 is an apocalyptic number.

349345920 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 349345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740275200).

349345920 is an abundant number, since it is smaller than the sum of its proper divisors (1131204480).

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

349345920 is a wasteful number, since it uses less digits than its factorization.

349345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 349345920 is about 18690.7977357843. The cubic root of 349345920 is about 704.2905997256.

The spelling of 349345920 in words is "three hundred forty-nine million, three hundred forty-five thousand, nine hundred twenty".