33785576868 has 48 divisors (see below), whose sum is σ = 81584254080. Its totient is φ = 10869137664.

The previous prime is 33785576861. The next prime is 33785576899. The reversal of 33785576868 is 86867558733.

It is a super-3 number, since 3×33785576868³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 33785576799 and 33785576808.

It is not an unprimeable number, because it can be changed into a prime (33785576861) 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 15 ways as a sum of consecutive naturals, for example, 908496 + ... + 944952.

It is an arithmetic number, because the mean of its divisors is an integer number (1699671960).

Almost surely, 2^33785576868 is an apocalyptic number.

It is an amenable number.

33785576868 is an abundant number, since it is smaller than the sum of its proper divisors (47798677212).

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

33785576868 is a wasteful number, since it uses less digits than its factorization.

33785576868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39156 (or 39154 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 66.

The spelling of 33785576868 in words is "thirty-three billion, seven hundred eighty-five million, five hundred seventy-six thousand, eight hundred sixty-eight".