348816 has 60 divisors (see below), whose sum is σ = 998448. Its totient is φ = 104832.

The previous prime is 348811. The next prime is 348827. The reversal of 348816 is 618843.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (348811) by changing a digit.

348816 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 8091 + ... + 8133.

2³⁴⁸⁸¹⁶ 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 348816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499224).

348816 is an abundant number, since it is smaller than the sum of its proper divisors (649632).

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

348816 is a wasteful number, since it uses less digits than its factorization.

348816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 61 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 348816 is about 590.6064679632. The cubic root of 348816 is about 70.3934308609.

The spelling of 348816 in words is "three hundred forty-eight thousand, eight hundred sixteen".