349511360 has 112 divisors (see below), whose sum is σ = 937516032. Its totient is φ = 122956800.

The previous prime is 349511333. The next prime is 349511363. The reversal of 349511360 is 63115943.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (349511363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107519 + ... + 110721.

Almost surely, 2^349511360 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 349511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468758016).

349511360 is an abundant number, since it is smaller than the sum of its proper divisors (588004672).

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

349511360 is a wasteful number, since it uses less digits than its factorization.

349511360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 349511360 is about 18695.2229192380. Note that the first 3 decimals coincide. The cubic root of 349511360 is about 704.4017593164.

The spelling of 349511360 in words is "three hundred forty-nine million, five hundred eleven thousand, three hundred sixty".