349874720 has 96 divisors (see below), whose sum is σ = 905567040. Its totient is φ = 126950400.

The previous prime is 349874717. The next prime is 349874731. The reversal of 349874720 is 27478943.

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, 121295 + ... + 124145.

It is an arithmetic number, because the mean of its divisors is an integer number (9432990).

Almost surely, 2^349874720 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 349874720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452783520).

349874720 is an abundant number, since it is smaller than the sum of its proper divisors (555692320).

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

349874720 is a wasteful number, since it uses less digits than its factorization.

349874720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The square root of 349874720 is about 18704.9383853570. The cubic root of 349874720 is about 704.6457788306.

The spelling of 349874720 in words is "three hundred forty-nine million, eight hundred seventy-four thousand, seven hundred twenty".