349992 has 24 divisors (see below), whose sum is σ = 948090. Its totient is φ = 116640.

The previous prime is 349981. The next prime is 350003. The reversal of 349992 is 299943.

It is an interprime number because it is at equal distance from previous prime (349981) and next prime (350003).

It can be written as a sum of positive squares in only one way, i.e., 224676 + 125316 = 474^2 + 354^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

349992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2359 + ... + 2502.

2³⁴⁹⁹⁹² is an apocalyptic number.

It is an amenable number.

349992 is an abundant number, since it is smaller than the sum of its proper divisors (598098).

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

349992 is a wasteful number, since it uses less digits than its factorization.

349992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4873 (or 4866 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 349992 is about 591.6012170373. The cubic root of 349992 is about 70.4724503795.

The spelling of 349992 in words is "three hundred forty-nine thousand, nine hundred ninety-two".