348090 has 32 divisors (see below), whose sum is σ = 858816. Its totient is φ = 90240.

The previous prime is 348083. The next prime is 348097. The reversal of 348090 is 90843.

348090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (348083) and next prime (348097).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 348090.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 348090.

It is not an unprimeable number, because it can be changed into a prime (348097) 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, 1089 + ... + 1371.

It is an arithmetic number, because the mean of its divisors is an integer number (26838).

2³⁴⁸⁰⁹⁰ is an apocalyptic number.

348090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 348090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429408).

348090 is an abundant number, since it is smaller than the sum of its proper divisors (510726).

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

348090 is a wasteful number, since it uses less digits than its factorization.

348090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 348090 is about 589.9915253629. The cubic root of 348090 is about 70.3445597008.

It can be divided in two parts, 3480 and 90, that added together give a triangular number (3570 = T₈₄).

The spelling of 348090 in words is "three hundred forty-eight thousand, ninety".