33868312434 has 80 divisors (see below), whose sum is σ = 82827249120. Its totient is φ = 10258410240.

The previous prime is 33868312393. The next prime is 33868312477. The reversal of 33868312434 is 43421386833.

It is a super-2 number, since 2×33868312434² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 33868312434.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7355577 + ... + 7360179.

It is an arithmetic number, because the mean of its divisors is an integer number (1035340614).

Almost surely, 2^33868312434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33868312434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41413624560).

33868312434 is an abundant number, since it is smaller than the sum of its proper divisors (48958936686).

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

33868312434 is a wasteful number, since it uses less digits than its factorization.

33868312434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8757 (or 8748 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 33868312434 in words is "thirty-three billion, eight hundred sixty-eight million, three hundred twelve thousand, four hundred thirty-four".