344100128 has 48 divisors (see below), whose sum is σ = 724802904. Its totient is φ = 160235520.

The previous prime is 344100101. The next prime is 344100137. The reversal of 344100128 is 821001443.

It can be written as a sum of positive squares in 4 ways, for example, as 344028304 + 71824 = 18548^2 + 268^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49508 + ... + 56028.

Almost surely, 2^344100128 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 344100128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362401452).

344100128 is an abundant number, since it is smaller than the sum of its proper divisors (380702776).

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

344100128 is a wasteful number, since it uses less digits than its factorization.

344100128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 344100128 is about 18549.9360645798. The cubic root of 344100128 is about 700.7475876998.

The spelling of 344100128 in words is "three hundred forty-four million, one hundred thousand, one hundred twenty-eight".