348960 has 48 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 92928.

The previous prime is 348949. The next prime is 348989. The reversal of 348960 is 69843.

348960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

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 7 ways as a sum of consecutive naturals, for example, 117 + ... + 843.

It is an arithmetic number, because the mean of its divisors is an integer number (22932).

2³⁴⁸⁹⁶⁰ is an apocalyptic number.

348960 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 348960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

348960 is an abundant number, since it is smaller than the sum of its proper divisors (751776).

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

348960 is a wasteful number, since it uses less digits than its factorization.

348960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 348960 is about 590.7283639711. The cubic root of 348960 is about 70.4031162532.

The spelling of 348960 in words is "three hundred forty-eight thousand, nine hundred sixty".