34568736768 has 416 divisors, whose sum is σ = 110260033920. Its totient is φ = 10797318144.

The previous prime is 34568736767. The next prime is 34568736791. The reversal of 34568736768 is 86763786543.

34568736768 is a `hidden beast` number, since 3 + 4 + 568 + 7 + 3 + 6 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34568736767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152285071 + ... + 152285297.

Almost surely, 2^34568736768 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 34568736768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55130016960).

34568736768 is an abundant number, since it is smaller than the sum of its proper divisors (75691297152).

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

34568736768 is an frugal number, since it uses more digits than its factorization.

34568736768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 249 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 34568736768 in words is "thirty-four billion, five hundred sixty-eight million, seven hundred thirty-six thousand, seven hundred sixty-eight".