349872 has 40 divisors (see below), whose sum is σ = 932976. Its totient is φ = 112896.

The previous prime is 349871. The next prime is 349903. The reversal of 349872 is 278943.

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

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349871) 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, 1678 + ... + 1874.

2³⁴⁹⁸⁷² is an apocalyptic number.

It is a pronic number, being equal to 591×592.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466488).

349872 is an abundant number, since it is smaller than the sum of its proper divisors (583104).

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

349872 is a wasteful number, since it uses less digits than its factorization.

349872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 349872 is about 591.4997886728. The cubic root of 349872 is about 70.4643952804.

It can be divided in two parts, 3498 and 72, that added together give a triangular number (3570 = T₈₄).

The spelling of 349872 in words is "three hundred forty-nine thousand, eight hundred seventy-two".