344008532068344 has 640 divisors, whose sum is σ = 1138986703008000. Its totient is φ = 95633572700160.

The previous prime is 344008532068319. The next prime is 344008532068349. The reversal of 344008532068344 is 443860235800443.

344008532068344 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 0 + 8 + 532 + 0 + 68 + 3 + 44 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344008532068349) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 9871385832 + ... + 9871420680.

It is an arithmetic number, because the mean of its divisors is an integer number (1779666723450).

Almost surely, 2^{344008532068344} 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 344008532068344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569493351504000).

344008532068344 is an abundant number, since it is smaller than the sum of its proper divisors (794978170939656).

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

344008532068344 is a wasteful number, since it uses less digits than its factorization.

344008532068344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35545 (or 35532 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 54.

Adding to 344008532068344 its reverse (443860235800443), we get a palindrome (787868767868787).

The spelling of 344008532068344 in words is "three hundred forty-four trillion, eight billion, five hundred thirty-two million, sixty-eight thousand, three hundred forty-four".