344855256704 has 256 divisors, whose sum is σ = 834434092800. Its totient is φ = 138850467840.

The previous prime is 344855256701. The next prime is 344855256737. The reversal of 344855256704 is 407652558443.

It is not an unprimeable number, because it can be changed into a prime (344855256701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153746207 + ... + 153748449.

It is an arithmetic number, because the mean of its divisors is an integer number (3259508175).

Almost surely, 2^344855256704 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 344855256704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417217046400).

344855256704 is an abundant number, since it is smaller than the sum of its proper divisors (489578836096).

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

344855256704 is a wasteful number, since it uses less digits than its factorization.

344855256704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 53.

The spelling of 344855256704 in words is "three hundred forty-four billion, eight hundred fifty-five million, two hundred fifty-six thousand, seven hundred four".