349381120 has 160 divisors (see below), whose sum is σ = 963420480. Its totient is φ = 120176640.

The previous prime is 349381117. The next prime is 349381147. The reversal of 349381120 is 21183943.

It is a tau number, because it is divible by the number of its divisors (160).

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, 534714 + ... + 535366.

It is an arithmetic number, because the mean of its divisors is an integer number (6021378).

Almost surely, 2^349381120 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 349381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481710240).

349381120 is an abundant number, since it is smaller than the sum of its proper divisors (614039360).

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

349381120 is a wasteful number, since it uses less digits than its factorization.

349381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 349381120 is about 18691.7393519169. The cubic root of 349381120 is about 704.3142536410.

The spelling of 349381120 in words is "three hundred forty-nine million, three hundred eighty-one thousand, one hundred twenty".