344414144 has 56 divisors (see below), whose sum is σ = 722010240. Its totient is φ = 162677504.

The previous prime is 344414143. The next prime is 344414153. The reversal of 344414144 is 441414443.

It is a super-2 number, since 2×344414144² = 237242205174505472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344414143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120767 + ... + 123585.

It is an arithmetic number, because the mean of its divisors is an integer number (12893040).

Almost surely, 2^344414144 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 344414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361005120).

344414144 is an abundant number, since it is smaller than the sum of its proper divisors (377596096).

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

344414144 is a wasteful number, since it uses less digits than its factorization.

344414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2927 counting only the distinct ones).

The product of its digits is 12288, while the sum is 29.

The square root of 344414144 is about 18558.3982067419. The cubic root of 344414144 is about 700.9606836706.

Adding to 344414144 its reverse (441414443), we get a palindrome (785828587).

The spelling of 344414144 in words is "three hundred forty-four million, four hundred fourteen thousand, one hundred forty-four".