344688640 has 96 divisors (see below), whose sum is σ = 848254680. Its totient is φ = 134348800.

The previous prime is 344688611. The next prime is 344688653. The reversal of 344688640 is 46886443.

It can be written as a sum of positive squares in 4 ways, for example, as 145540096 + 199148544 = 12064^2 + 14112^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

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, 419430 + ... + 420250.

Almost surely, 2^344688640 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 344688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424127340).

344688640 is an abundant number, since it is smaller than the sum of its proper divisors (503566040).

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

344688640 is an equidigital number, since it uses as much as digits as its factorization.

344688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The square root of 344688640 is about 18565.7921996343. The cubic root of 344688640 is about 701.1468547024.

The spelling of 344688640 in words is "three hundred forty-four million, six hundred eighty-eight thousand, six hundred forty".