33868705752 has 192 divisors, whose sum is σ = 111455585280. Its totient is φ = 9081236736.

The previous prime is 33868705751. The next prime is 33868705777. The reversal of 33868705752 is 25750786833.

33868705752 is a `hidden beast` number, since 3 + 3 + 8 + 68 + 7 + 0 + 575 + 2 = 666.

It is a super-2 number, since 2×33868705752² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33868705751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 586813 + ... + 641939.

It is an arithmetic number, because the mean of its divisors is an integer number (580497840).

Almost surely, 2^33868705752 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 33868705752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55727792640).

33868705752 is an abundant number, since it is smaller than the sum of its proper divisors (77586879528).

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

33868705752 is a wasteful number, since it uses less digits than its factorization.

33868705752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55222 (or 55215 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 33868705752 in words is "thirty-three billion, eight hundred sixty-eight million, seven hundred five thousand, seven hundred fifty-two".