34647856056 has 256 divisors, whose sum is σ = 109456588800. Its totient is φ = 10059811200.

The previous prime is 34647856027. The next prime is 34647856079. The reversal of 34647856056 is 65065874643.

34647856056 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 78 + 560 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34647855993 and 34647856011.

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, 7584285 + ... + 7588851.

It is an arithmetic number, because the mean of its divisors is an integer number (427564800).

Almost surely, 2^34647856056 is an apocalyptic number.

34647856056 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 34647856056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54728294400).

34647856056 is an abundant number, since it is smaller than the sum of its proper divisors (74808732744).

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

34647856056 is a wasteful number, since it uses less digits than its factorization.

34647856056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 34647856056 in words is "thirty-four billion, six hundred forty-seven million, eight hundred fifty-six thousand, fifty-six".