344017936031616 has 2048 divisors, whose sum is σ = 1350395073331200. Its totient is φ = 84627922452480.

The previous prime is 344017936031587. The next prime is 344017936031641. The reversal of 344017936031616 is 616130639710443.

344017936031616 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 1 + 7 + 9 + 3 + 603 + 16 + 16 = 666.

It is a super-2 number, since 2×344017936031616² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 51063962200 + ... + 51063968936.

It is an arithmetic number, because the mean of its divisors is an integer number (659372594400).

Almost surely, 2^{344017936031616} is an apocalyptic number.

344017936031616 is a gapful number since it is divisible by the number (36) 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 344017936031616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675197536665600).

344017936031616 is an abundant number, since it is smaller than the sum of its proper divisors (1006377137299584).

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

344017936031616 is a wasteful number, since it uses less digits than its factorization.

344017936031616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6916 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 344017936031616 in words is "three hundred forty-four trillion, seventeen billion, nine hundred thirty-six million, thirty-one thousand, six hundred sixteen".