349232 has 40 divisors (see below), whose sum is σ = 770784. Its totient is φ = 152064.

The previous prime is 349211. The next prime is 349241. The reversal of 349232 is 232943.

It is a Harshad number since it is a multiple of its sum of digits (23).

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 349198 and 349207.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 349232.

It is an unprimeable number.

349232 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4748 + ... + 4820.

2³⁴⁹²³² 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 349232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385392).

349232 is an abundant number, since it is smaller than the sum of its proper divisors (421552).

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

349232 is a wasteful number, since it uses less digits than its factorization.

349232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its digits is 1296, while the sum is 23.

The square root of 349232 is about 590.9585433852. The cubic root of 349232 is about 70.4214036160.

It can be divided in two parts, 3 and 49232, that multiplied together give a triangular number (147696 = T₅₄₃).

The spelling of 349232 in words is "three hundred forty-nine thousand, two hundred thirty-two".