349838368 has 96 divisors (see below), whose sum is σ = 796340160. Its totient is φ = 149775360.

The previous prime is 349838341. The next prime is 349838381. The reversal of 349838368 is 863838943.

349838368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438546 + ... + 439342.

It is an arithmetic number, because the mean of its divisors is an integer number (8295210).

Almost surely, 2^349838368 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 349838368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398170080).

349838368 is an abundant number, since it is smaller than the sum of its proper divisors (446501792).

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

349838368 is a wasteful number, since it uses less digits than its factorization.

349838368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 882 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 52.

The square root of 349838368 is about 18703.9666381225. The cubic root of 349838368 is about 704.6213737421.

The spelling of 349838368 in words is "three hundred forty-nine million, eight hundred thirty-eight thousand, three hundred sixty-eight".