344416 has 24 divisors (see below), whose sum is σ = 695520. Its totient is φ = 167808.

The previous prime is 344371. The next prime is 344417. The reversal of 344416 is 614443.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344417) by changing a digit.

344416 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 3 ways as a sum of consecutive naturals, for example, 1390 + ... + 1618.

It is an arithmetic number, because the mean of its divisors is an integer number (28980).

2³⁴⁴⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347760).

344416 is an abundant number, since it is smaller than the sum of its proper divisors (351104).

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

344416 is a wasteful number, since it uses less digits than its factorization.

344416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 278 counting only the distinct ones).

The product of its digits is 1152, while the sum is 22.

The square root of 344416 is about 586.8696618501. The cubic root of 344416 is about 70.0961942795.

Adding to 344416 its reverse (614443), we get a palindrome (958859).

The spelling of 344416 in words is "three hundred forty-four thousand, four hundred sixteen".