34256851344 has 320 divisors, whose sum is σ = 108635904000. Its totient is φ = 10292728320.

The previous prime is 34256851303. The next prime is 34256851393. The reversal of 34256851344 is 44315865243.

34256851344 is a `hidden beast` number, since 3 + 4 + 2 + 568 + 51 + 34 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34256851344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16899259 + ... + 16901285.

It is an arithmetic number, because the mean of its divisors is an integer number (339487200).

Almost surely, 2^34256851344 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 34256851344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54317952000).

34256851344 is an abundant number, since it is smaller than the sum of its proper divisors (74379052656).

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

34256851344 is a wasteful number, since it uses less digits than its factorization.

34256851344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2151 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 34256851344 in words is "thirty-four billion, two hundred fifty-six million, eight hundred fifty-one thousand, three hundred forty-four".