344382603264 has 512 divisors, whose sum is σ = 1235119795200. Its totient is φ = 92578775040.

The previous prime is 344382603239. The next prime is 344382603269. The reversal of 344382603264 is 462306283443.

It is a happy number.

344382603264 is a `hidden beast` number, since 3 + 4 + 4 + 38 + 2 + 603 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344382603269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105281949 + ... + 105285219.

It is an arithmetic number, because the mean of its divisors is an integer number (2412343350).

Almost surely, 2^344382603264 is an apocalyptic number.

344382603264 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 344382603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617559897600).

344382603264 is an abundant number, since it is smaller than the sum of its proper divisors (890737191936).

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

344382603264 is an equidigital number, since it uses as much as digits as its factorization.

344382603264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 344382603264 in words is "three hundred forty-four billion, three hundred eighty-two million, six hundred three thousand, two hundred sixty-four".