349904 has 20 divisors (see below), whose sum is σ = 714240. Its totient is φ = 165600.

The previous prime is 349903. The next prime is 349907. The reversal of 349904 is 409943.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 272 + ... + 879.

It is an arithmetic number, because the mean of its divisors is an integer number (35712).

2³⁴⁹⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

349904 is an abundant number, since it is smaller than the sum of its proper divisors (364336).

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

349904 is a wasteful number, since it uses less digits than its factorization.

349904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 349904 is about 591.5268379372. The cubic root of 349904 is about 70.4665434869.

The spelling of 349904 in words is "three hundred forty-nine thousand, nine hundred four".