344625072768 has 768 divisors, whose sum is σ = 1164452889600. Its totient is φ = 100858576896.

The previous prime is 344625072767. The next prime is 344625072769. The reversal of 344625072768 is 867270526443.

344625072768 is a `hidden beast` number, since 3 + 4 + 4 + 62 + 507 + 2 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (344625072767) and next prime (344625072769).

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

It is not an unprimeable number, because it can be changed into a prime (344625072763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 522951223 + ... + 522951881.

It is an arithmetic number, because the mean of its divisors is an integer number (1516214700).

Almost surely, 2^344625072768 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 344625072768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582226444800).

344625072768 is an abundant number, since it is smaller than the sum of its proper divisors (819827816832).

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

344625072768 is a wasteful number, since it uses less digits than its factorization.

344625072768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 344625072768 in words is "three hundred forty-four billion, six hundred twenty-five million, seventy-two thousand, seven hundred sixty-eight".