348992 has 56 divisors (see below), whose sum is σ = 853440. Its totient is φ = 138240.

The previous prime is 348991. The next prime is 349007. The reversal of 348992 is 299843.

It is a tau number, because it is divible by the number of its divisors (56).

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 348992.

It is not an unprimeable number, because it can be changed into a prime (348991) by changing a digit.

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, 8492 + ... + 8532.

It is an arithmetic number, because the mean of its divisors is an integer number (15240).

2³⁴⁸⁹⁹² is an apocalyptic number.

348992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426720).

348992 is an abundant number, since it is smaller than the sum of its proper divisors (504448).

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

348992 is a wasteful number, since it uses less digits than its factorization.

348992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 69 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 348992 is about 590.7554485572. The cubic root of 348992 is about 70.4052682008.

The spelling of 348992 in words is "three hundred forty-eight thousand, nine hundred ninety-two".