344916 has 72 divisors (see below), whose sum is σ = 1039584. Its totient is φ = 95040.

The previous prime is 344909. The next prime is 344917. The reversal of 344916 is 619443.

344916 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2592) is a multiple of the sum of its prime divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 344916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344917) by changing a digit.

344916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5115 + ... + 5181.

2³⁴⁴⁹¹⁶ is an apocalyptic number.

344916 is a gapful number since it is divisible by the number (36) 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 344916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519792).

344916 is an abundant number, since it is smaller than the sum of its proper divisors (694668).

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

344916 is a wasteful number, since it uses less digits than its factorization.

344916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 96 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 344916 is about 587.2954963219. The cubic root of 344916 is about 70.1300981928.

It can be divided in two parts, 34 and 4916, that added together give a triangular number (4950 = T₉₉).

The spelling of 344916 in words is "three hundred forty-four thousand, nine hundred sixteen".