34807768056 has 288 divisors, whose sum is σ = 106463916000. Its totient is φ = 10251988992.

The previous prime is 34807768033. The next prime is 34807768057. The reversal of 34807768056 is 65086770843.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34807767993 and 34807768011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34807768057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22326205 + ... + 22327763.

It is an arithmetic number, because the mean of its divisors is an integer number (369666375).

Almost surely, 2^34807768056 is an apocalyptic number.

34807768056 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 34807768056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53231958000).

34807768056 is an abundant number, since it is smaller than the sum of its proper divisors (71656147944).

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

34807768056 is a wasteful number, since it uses less digits than its factorization.

34807768056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 34807768056 in words is "thirty-four billion, eight hundred seven million, seven hundred sixty-eight thousand, fifty-six".