349164 has 48 divisors (see below), whose sum is σ = 937440. Its totient is φ = 112320.

The previous prime is 349133. The next prime is 349171. The reversal of 349164 is 461943.

349164 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

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, 5694 + ... + 5754.

It is an arithmetic number, because the mean of its divisors is an integer number (19530).

2³⁴⁹¹⁶⁴ 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 349164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

349164 is an abundant number, since it is smaller than the sum of its proper divisors (588276).

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

349164 is a wasteful number, since it uses less digits than its factorization.

349164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 349164 is about 590.9010069377. The cubic root of 349164 is about 70.4168326658.

The spelling of 349164 in words is "three hundred forty-nine thousand, one hundred sixty-four".