344408328 has 128 divisors (see below), whose sum is σ = 1068249600. Its totient is φ = 101908800.

The previous prime is 344408327. The next prime is 344408329. The reversal of 344408328 is 823804443.

It is an interprime number because it is at equal distance from previous prime (344408327) and next prime (344408329).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 344408292 and 344408301.

It is not an unprimeable number, because it can be changed into a prime (344408327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100483 + ... + 103853.

It is an arithmetic number, because the mean of its divisors is an integer number (8345700).

Almost surely, 2^344408328 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 344408328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534124800).

344408328 is an abundant number, since it is smaller than the sum of its proper divisors (723841272).

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

344408328 is a wasteful number, since it uses less digits than its factorization.

344408328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3440 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 344408328 is about 18558.2415115226. The cubic root of 344408328 is about 700.9567380233.

The spelling of 344408328 in words is "three hundred forty-four million, four hundred eight thousand, three hundred twenty-eight".