348000 has 96 divisors (see below), whose sum is σ = 1179360. Its totient is φ = 89600.

The previous prime is 347993. The next prime is 348001. The reversal of 348000 is 843.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×348000² = 242208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11986 + ... + 12014.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2³⁴⁸⁰⁰⁰ is an apocalyptic number.

348000 is a gapful number since it is divisible by the number (30) 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 348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589680).

348000 is an abundant number, since it is smaller than the sum of its proper divisors (831360).

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

348000 is a wasteful number, since it uses less digits than its factorization.

348000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 348000 is about 589.9152481501. The cubic root of 348000 is about 70.3384965600.

Adding to 348000 its reverse (843), we get a palindrome (348843).

The spelling of 348000 in words is "three hundred forty-eight thousand".