344068491159936 has 512 divisors, whose sum is σ = 1108895940864000. Its totient is φ = 104586080256000.

The previous prime is 344068491159907. The next prime is 344068491160039. The reversal of 344068491159936 is 639951194860443.

344068491159936 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 6 + 8 + 491 + 15 + 99 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 519212811 + ... + 519875061.

It is an arithmetic number, because the mean of its divisors is an integer number (2165812384500).

Almost surely, 2^{344068491159936} is an apocalyptic number.

344068491159936 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 344068491159936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554447970432000).

344068491159936 is an abundant number, since it is smaller than the sum of its proper divisors (764827449704064).

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

344068491159936 is a wasteful number, since it uses less digits than its factorization.

344068491159936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662567 (or 662549 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 344068491159936 in words is "three hundred forty-four trillion, sixty-eight billion, four hundred ninety-one million, one hundred fifty-nine thousand, nine hundred thirty-six".