33804804 has 48 divisors (see below), whose sum is σ = 87284736. Its totient is φ = 10096800.

The previous prime is 33804739. The next prime is 33804809. The reversal of 33804804 is 40840833.

It is a super-3 number, since 3×33804804³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (33804809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7569 + ... + 11175.

It is an arithmetic number, because the mean of its divisors is an integer number (1818432).

Almost surely, 2^33804804 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 33804804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43642368).

33804804 is an abundant number, since it is smaller than the sum of its proper divisors (53479932).

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

33804804 is a wasteful number, since it uses less digits than its factorization.

33804804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 33804804 is about 5814.1898833801. The cubic root of 33804804 is about 323.3400298562.

The spelling of 33804804 in words is "thirty-three million, eight hundred four thousand, eight hundred four".