344550520020960 has 576 divisors, whose sum is σ = 1350551359422720. Its totient is φ = 79109246730240.

The previous prime is 344550520020919. The next prime is 344550520020977. The reversal of 344550520020960 is 69020025055443.

344550520020960 is a `hidden beast` number, since 3 + 4 + 4 + 550 + 5 + 2 + 0 + 0 + 2 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1096240152 + ... + 1096554408.

It is an arithmetic number, because the mean of its divisors is an integer number (2344707221220).

Almost surely, 2^{344550520020960} is an apocalyptic number.

344550520020960 is a gapful number since it is divisible by the number (30) 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 344550520020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675275679711360).

344550520020960 is an abundant number, since it is smaller than the sum of its proper divisors (1006000839401760).

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

344550520020960 is a wasteful number, since it uses less digits than its factorization.

344550520020960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317951 (or 317940 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 344550520020960 in words is "three hundred forty-four trillion, five hundred fifty billion, five hundred twenty million, twenty thousand, nine hundred sixty".