34063552656 has 360 divisors, whose sum is σ = 116642143800. Its totient is φ = 9239408640.

The previous prime is 34063552651. The next prime is 34063552703. The reversal of 34063552656 is 65625536043.

34063552656 is a `hidden beast` number, since 3 + 4 + 0 + 635 + 5 + 2 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5158112400 + 28905440256 = 71820^2 + 170016^2 .

It is not an unprimeable number, because it can be changed into a prime (34063552651) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12480700 + ... + 12483428.

It is an arithmetic number, because the mean of its divisors is an integer number (324005955).

Almost surely, 2^34063552656 is an apocalyptic number.

34063552656 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 34063552656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58321071900).

34063552656 is an abundant number, since it is smaller than the sum of its proper divisors (82578591144).

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

34063552656 is a wasteful number, since it uses less digits than its factorization.

34063552656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 34063552656 in words is "thirty-four billion, sixty-three million, five hundred fifty-two thousand, six hundred fifty-six".