34006247900568 has 256 divisors, whose sum is σ = 102755931955200. Its totient is φ = 10388917440000.

The previous prime is 34006247900549. The next prime is 34006247900701. The reversal of 34006247900568 is 86500974260043.

34006247900568 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 6 + 2 + 4 + 79 + 0 + 0 + 568 = 666.

It is a super-3 number, since 3×34006247900568³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 14461698 + ... + 16647918.

It is an arithmetic number, because the mean of its divisors is an integer number (401390359200).

Almost surely, 2^{34006247900568} 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 34006247900568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51377965977600).

34006247900568 is an abundant number, since it is smaller than the sum of its proper divisors (68749684054632).

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

34006247900568 is a wasteful number, since it uses less digits than its factorization.

34006247900568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186391 (or 2186381 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 34006247900568 in words is "thirty-four trillion, six billion, two hundred forty-seven million, nine hundred thousand, five hundred sixty-eight".