344221328 has 80 divisors (see below), whose sum is σ = 776140800. Its totient is φ = 146240640.

The previous prime is 344221301. The next prime is 344221333. The reversal of 344221328 is 823122443.

It is a self number, because there is not a number n which added to its sum of digits gives 344221328.

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, 263525 + ... + 264827.

It is an arithmetic number, because the mean of its divisors is an integer number (9701760).

Almost surely, 2^344221328 is an apocalyptic number.

344221328 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344221328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388070400).

344221328 is an abundant number, since it is smaller than the sum of its proper divisors (431919472).

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

344221328 is a wasteful number, since it uses less digits than its factorization.

344221328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1414 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

The square root of 344221328 is about 18553.2026345858. The cubic root of 344221328 is about 700.8298511954.

The spelling of 344221328 in words is "three hundred forty-four million, two hundred twenty-one thousand, three hundred twenty-eight".