344832768 has 144 divisors (see below), whose sum is σ = 1165570560. Its totient is φ = 98509824.

The previous prime is 344832689. The next prime is 344832791. The reversal of 344832768 is 867238443.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

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, 44821 + ... + 51947.

It is an arithmetic number, because the mean of its divisors is an integer number (8094240).

Almost surely, 2^344832768 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 344832768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582785280).

344832768 is an abundant number, since it is smaller than the sum of its proper divisors (820737792).

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

344832768 is an equidigital number, since it uses as much as digits as its factorization.

344832768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7159 (or 7139 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 344832768 is about 18569.6733412303. The cubic root of 344832768 is about 701.2445668600.

The spelling of 344832768 in words is "three hundred forty-four million, eight hundred thirty-two thousand, seven hundred sixty-eight".