344112144 has 80 divisors (see below), whose sum is σ = 941160000. Its totient is φ = 108154368.

The previous prime is 344112143. The next prime is 344112149. The reversal of 344112144 is 441211443.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (344112143) 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, 56982 + ... + 62730.

It is an arithmetic number, because the mean of its divisors is an integer number (11764500).

Almost surely, 2^344112144 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 344112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470580000).

344112144 is an abundant number, since it is smaller than the sum of its proper divisors (597047856).

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

344112144 is a wasteful number, since it uses less digits than its factorization.

344112144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832 (or 5826 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 344112144 is about 18550.2599442703. The cubic root of 344112144 is about 700.7557443228.

Adding to 344112144 its reverse (441211443), we get a palindrome (785323587).

The spelling of 344112144 in words is "three hundred forty-four million, one hundred twelve thousand, one hundred forty-four".