349236 has 36 divisors (see below), whose sum is σ = 900900. Its totient is φ = 114048.

The previous prime is 349211. The next prime is 349241. The reversal of 349236 is 632943.

It can be written as a sum of positive squares in 2 ways, for example, as 152100 + 197136 = 390^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3150 + ... + 3258.

It is an arithmetic number, because the mean of its divisors is an integer number (25025).

2³⁴⁹²³⁶ is an apocalyptic number.

349236 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450450).

349236 is an abundant number, since it is smaller than the sum of its proper divisors (551664).

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

349236 is a wasteful number, since it uses less digits than its factorization.

349236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 203 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 349236 is about 590.9619277077. The cubic root of 349236 is about 70.4216724769.

It can be divided in two parts, 349 and 236, that added together give a palindrome (585).

The spelling of 349236 in words is "three hundred forty-nine thousand, two hundred thirty-six".