33034210008 has 128 divisors (see below), whose sum is σ = 92192256000. Its totient is φ = 9802598400.

The previous prime is 33034209959. The next prime is 33034210031. The reversal of 33034210008 is 80001243033.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 33034210008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5431113 + ... + 5437191.

It is an arithmetic number, because the mean of its divisors is an integer number (720252000).

Almost surely, 2^33034210008 is an apocalyptic number.

33034210008 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33034210008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46096128000).

33034210008 is an abundant number, since it is smaller than the sum of its proper divisors (59158045992).

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

33034210008 is a wasteful number, since it uses less digits than its factorization.

33034210008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6825 (or 6821 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 33034210008 in words is "thirty-three billion, thirty-four million, two hundred ten thousand, eight".