33002090004 has 96 divisors (see below), whose sum is σ = 88712378496. Its totient is φ = 9458565120.

The previous prime is 33002090003. The next prime is 33002090027. The reversal of 33002090004 is 40009020033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33002090003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193099 + ... + 321389.

It is an arithmetic number, because the mean of its divisors is an integer number (924087276).

Almost surely, 2^33002090004 is an apocalyptic number.

33002090004 is a gapful number since it is divisible by the number (34) 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 33002090004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44356189248).

33002090004 is an abundant number, since it is smaller than the sum of its proper divisors (55710288492).

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

33002090004 is a wasteful number, since it uses less digits than its factorization.

33002090004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128425 (or 128423 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

It can be divided in two parts, 330020 and 90004, that added together give a palindrome (420024).

The spelling of 33002090004 in words is "thirty-three billion, two million, ninety thousand, four".