344436609397664 has 144 divisors (see below), whose sum is σ = 836612357845320. Its totient is φ = 138701238681600.

The previous prime is 344436609397561. The next prime is 344436609397691. The reversal of 344436609397664 is 466793906634443.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 341832323509264 + 2604285888400 = 18488708^2 + 1613780^2 .

It is a junction number, because it is equal to n+sod(n) for n = 344436609397591 and 344436609397600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5270222 + ... + 26770290.

Almost surely, 2^{344436609397664} is an apocalyptic number.

344436609397664 is a gapful number since it is divisible by the number (34) 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 344436609397664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418306178922660).

344436609397664 is an abundant number, since it is smaller than the sum of its proper divisors (492175748447656).

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

344436609397664 is a wasteful number, since it uses less digits than its factorization.

344436609397664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21500711 (or 21500696 counting only the distinct ones).

The product of its (nonzero) digits is 5079158784, while the sum is 74.

The spelling of 344436609397664 in words is "three hundred forty-four trillion, four hundred thirty-six billion, six hundred nine million, three hundred ninety-seven thousand, six hundred sixty-four".