349392 has 40 divisors (see below), whose sum is σ = 937440. Its totient is φ = 112000.

The previous prime is 349387. The next prime is 349397. The reversal of 349392 is 293943.

It is an interprime number because it is at equal distance from previous prime (349387) and next prime (349397).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 3⁵ + 4⁹ + 3⁹ + 9² + 9⁵ + 2¹³ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 349392.

It is not an unprimeable number, because it can be changed into a prime (349397) by changing a digit.

349392 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 7 ways as a sum of consecutive naturals, for example, 1267 + ... + 1517.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2³⁴⁹³⁹² 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 349392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

349392 is an abundant number, since it is smaller than the sum of its proper divisors (588048).

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

349392 is a wasteful number, since it uses less digits than its factorization.

349392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

The square root of 349392 is about 591.0939011697. The cubic root of 349392 is about 70.4321564530.

It can be divided in two parts, 349 and 392, that added together give a triangular number (741 = T₃₈).

The spelling of 349392 in words is "three hundred forty-nine thousand, three hundred ninety-two".