344470364064 has 720 divisors, whose sum is σ = 1131469388280. Its totient is φ = 102651494400.

The previous prime is 344470364053. The next prime is 344470364083. The reversal of 344470364064 is 460463074443.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 206897619600 + 137572744464 = 454860^2 + 370908^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2194078674 + ... + 2194078830.

Almost surely, 2^344470364064 is an apocalyptic number.

344470364064 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 344470364064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565734694140).

344470364064 is an abundant number, since it is smaller than the sum of its proper divisors (786999024216).

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

344470364064 is a wasteful number, since it uses less digits than its factorization.

344470364064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 45.

The spelling of 344470364064 in words is "three hundred forty-four billion, four hundred seventy million, three hundred sixty-four thousand, sixty-four".