349113120 has 96 divisors (see below), whose sum is σ = 1120537152. Its totient is φ = 91333632.

The previous prime is 349113119. The next prime is 349113131. The reversal of 349113120 is 21311943.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×349113120² = 243759941112268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 18579 + ... + 32301.

It is an arithmetic number, because the mean of its divisors is an integer number (11672262).

Almost surely, 2^349113120 is an apocalyptic number.

349113120 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 349113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560268576).

349113120 is an abundant number, since it is smaller than the sum of its proper divisors (771424032).

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

349113120 is a wasteful number, since it uses less digits than its factorization.

349113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13794 (or 13786 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 349113120 is about 18684.5690343663. The cubic root of 349113120 is about 704.1341213129.

The spelling of 349113120 in words is "three hundred forty-nine million, one hundred thirteen thousand, one hundred twenty".