349884 has 18 divisors (see below), whose sum is σ = 884520. Its totient is φ = 116616.

The previous prime is 349871. The next prime is 349903. The reversal of 349884 is 488943.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 9719 = 349884 / (3 + 4 + 9 + 8 + 8 + 4).

It is a plaindrome in base 16.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 4824 + ... + 4895.

It is an arithmetic number, because the mean of its divisors is an integer number (49140).

2³⁴⁹⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

349884 is an abundant number, since it is smaller than the sum of its proper divisors (534636).

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

349884 is a wasteful number, since it uses less digits than its factorization.

349884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9729 (or 9724 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 349884 is about 591.5099322919. The cubic root of 349884 is about 70.4652008732.

The spelling of 349884 in words is "three hundred forty-nine thousand, eight hundred eighty-four".