344214144 has 128 divisors (see below), whose sum is σ = 1024732800. Its totient is φ = 113743872.

The previous prime is 344214119. The next prime is 344214187. The reversal of 344214144 is 441412443.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473109 + ... + 473835.

It is an arithmetic number, because the mean of its divisors is an integer number (8005725).

Almost surely, 2^344214144 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 344214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512366400).

344214144 is an abundant number, since it is smaller than the sum of its proper divisors (680518656).

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

344214144 is a wasteful number, since it uses less digits than its factorization.

344214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 869 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 344214144 is about 18553.0090281873. The cubic root of 344214144 is about 700.8249756533.

Adding to 344214144 its reverse (441412443), we get a palindrome (785626587).

The spelling of 344214144 in words is "three hundred forty-four million, two hundred fourteen thousand, one hundred forty-four".