344345040864 has 720 divisors, whose sum is σ = 1163293705728. Its totient is φ = 99734976000.

The previous prime is 344345040841. The next prime is 344345040881. The reversal of 344345040864 is 468040543443.

344345040864 is a `hidden beast` number, since 34 + 4 + 34 + 504 + 0 + 86 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 1040317179 + ... + 1040317509.

Almost surely, 2^344345040864 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 344345040864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581646852864).

344345040864 is an abundant number, since it is smaller than the sum of its proper divisors (818948664864).

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

344345040864 is a wasteful number, since it uses less digits than its factorization.

344345040864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 344345040864 in words is "three hundred forty-four billion, three hundred forty-five million, forty thousand, eight hundred sixty-four".