349104 has 40 divisors (see below), whose sum is σ = 1031680. Its totient is φ = 99648.

The previous prime is 349099. The next prime is 349109. The reversal of 349104 is 401943.

It is an interprime number because it is at equal distance from previous prime (349099) and next prime (349109).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (349109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184 + ... + 855.

It is an arithmetic number, because the mean of its divisors is an integer number (25792).

2³⁴⁹¹⁰⁴ is an apocalyptic number.

It is an amenable number.

349104 is an abundant number, since it is smaller than the sum of its proper divisors (682576).

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

349104 is a wasteful number, since it uses less digits than its factorization.

349104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 349104 is about 590.8502348311. The cubic root of 349104 is about 70.4127989815.

The spelling of 349104 in words is "three hundred forty-nine thousand, one hundred four".