34651968768 has 216 divisors, whose sum is σ = 106269240168. Its totient is φ = 10821697536.

The previous prime is 34651968737. The next prime is 34651968781. The reversal of 34651968768 is 86786915643.

34651968768 is a `hidden beast` number, since 3 + 46 + 519 + 6 + 8 + 76 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73822464 + 34578146304 = 8592^2 + 185952^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9124246 + ... + 9128042.

It is an arithmetic number, because the mean of its divisors is an integer number (491987223).

Almost surely, 2^34651968768 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 34651968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53134620084).

34651968768 is an abundant number, since it is smaller than the sum of its proper divisors (71617271400).

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

34651968768 is a wasteful number, since it uses less digits than its factorization.

34651968768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069 (or 4052 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 34651968768 in words is "thirty-four billion, six hundred fifty-one million, nine hundred sixty-eight thousand, seven hundred sixty-eight".