348840 has 128 divisors (see below), whose sum is σ = 1296000. Its totient is φ = 82944.

The previous prime is 348839. The next prime is 348851. The reversal of 348840 is 48843.

348840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×348840³ = 127350333957312000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 348840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18351 + ... + 18369.

It is an arithmetic number, because the mean of its divisors is an integer number (10125).

2³⁴⁸⁸⁴⁰ is an apocalyptic number.

348840 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 348840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648000).

348840 is an abundant number, since it is smaller than the sum of its proper divisors (947160).

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

348840 is a wasteful number, since it uses less digits than its factorization.

348840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 348840 is about 590.6267857116. The cubic root of 348840 is about 70.3950452780.

The spelling of 348840 in words is "three hundred forty-eight thousand, eight hundred forty".