344369664 has 160 divisors (see below), whose sum is σ = 1055736000. Its totient is φ = 110702592.

The previous prime is 344369659. The next prime is 344369681. The reversal of 344369664 is 466963443.

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, 400467 + ... + 401325.

It is an arithmetic number, because the mean of its divisors is an integer number (6598350).

Almost surely, 2^344369664 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 344369664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527868000).

344369664 is an abundant number, since it is smaller than the sum of its proper divisors (711366336).

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

344369664 is an equidigital number, since it uses as much as digits as its factorization.

344369664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 893 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 344369664 is about 18557.1997887612. The cubic root of 344369664 is about 700.9305067513.

It can be divided in two parts, 34436 and 9664, that added together give a square (44100 = 210²).

The spelling of 344369664 in words is "three hundred forty-four million, three hundred sixty-nine thousand, six hundred sixty-four".