344880 has 60 divisors (see below), whose sum is σ = 1160640. Its totient is φ = 91776.

The previous prime is 344873. The next prime is 344887. The reversal of 344880 is 88443.

344880 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 (344873) and next prime (344887).

It is a tau number, because it is divible by the number of its divisors (60).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (344887) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 481 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (19344).

2³⁴⁴⁸⁸⁰ is an apocalyptic number.

344880 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 344880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580320).

344880 is an abundant number, since it is smaller than the sum of its proper divisors (815760).

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

344880 is a wasteful number, since it uses less digits than its factorization.

344880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 489 counting only the distinct ones).

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

The square root of 344880 is about 587.2648465556. The cubic root of 344880 is about 70.1276582061.

The spelling of 344880 in words is "three hundred forty-four thousand, eight hundred eighty".