344327440 has 80 divisors (see below), whose sum is σ = 833540400. Its totient is φ = 132120576.

The previous prime is 344327437. The next prime is 344327461. The reversal of 344327440 is 44723443.

It can be written as a sum of positive squares in 8 ways, for example, as 20903184 + 323424256 = 4572^2 + 17984^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×344327440² = 237122771873907200, which contains 22 as substring.

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, 447376 + ... + 448144.

It is an arithmetic number, because the mean of its divisors is an integer number (10419255).

Almost surely, 2^344327440 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 344327440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416770200).

344327440 is an abundant number, since it is smaller than the sum of its proper divisors (489212960).

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

344327440 is a wasteful number, since it uses less digits than its factorization.

344327440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 31.

The square root of 344327440 is about 18556.0620822415. The cubic root of 344327440 is about 700.9018579837.

The spelling of 344327440 in words is "three hundred forty-four million, three hundred twenty-seven thousand, four hundred forty".