349972 has 24 divisors (see below), whose sum is σ = 725760. Its totient is φ = 144480.

The previous prime is 349967. The next prime is 349981. The reversal of 349972 is 279943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 597 + ... + 1027.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2³⁴⁹⁹⁷² 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 349972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

349972 is an abundant number, since it is smaller than the sum of its proper divisors (375788).

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

349972 is a wasteful number, since it uses less digits than its factorization.

349972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 469 counting only the distinct ones).

The product of its digits is 13608, while the sum is 34.

The square root of 349972 is about 591.5843135175. The cubic root of 349972 is about 70.4711079909.

The spelling of 349972 in words is "three hundred forty-nine thousand, nine hundred seventy-two".