348288 has 32 divisors (see below), whose sum is σ = 926160. Its totient is φ = 115968.

The previous prime is 348287. The next prime is 348307. The reversal of 348288 is 882843.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 (348287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70 + ... + 837.

2³⁴⁸²⁸⁸ 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 348288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463080).

348288 is an abundant number, since it is smaller than the sum of its proper divisors (577872).

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

348288 is an equidigital number, since it uses as much as digits as its factorization.

348288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 912 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 348288 is about 590.1593005283. The cubic root of 348288 is about 70.3578949329.

It can be divided in two parts, 3482 and 88, that added together give a triangular number (3570 = T₈₄).

The spelling of 348288 in words is "three hundred forty-eight thousand, two hundred eighty-eight".