348336 has 60 divisors (see below), whose sum is σ = 1015560. Its totient is φ = 111360.

The previous prime is 348323. The next prime is 348353. The reversal of 348336 is 633843.

348336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5875 + ... + 5933.

It is an arithmetic number, because the mean of its divisors is an integer number (16926).

2³⁴⁸³³⁶ is an apocalyptic number.

348336 is a gapful number since it is divisible by the number (36) 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 348336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507780).

348336 is an abundant number, since it is smaller than the sum of its proper divisors (667224).

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

348336 is a wasteful number, since it uses less digits than its factorization.

348336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 105 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 348336 is about 590.1999661132. The cubic root of 348336 is about 70.3611269552.

The spelling of 348336 in words is "three hundred forty-eight thousand, three hundred thirty-six".