33006604224 has 224 divisors, whose sum is σ = 100728840960. Its totient is φ = 9433497600.

The previous prime is 33006604193. The next prime is 33006604229. The reversal of 33006604224 is 42240660033.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 33006604191 and 33006604200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33006604229) 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, 9669142 + ... + 9672554.

Almost surely, 2^33006604224 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 33006604224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50364420480).

33006604224 is an abundant number, since it is smaller than the sum of its proper divisors (67722236736).

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

33006604224 is a wasteful number, since it uses less digits than its factorization.

33006604224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3699 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 33006604224 in words is "thirty-three billion, six million, six hundred four thousand, two hundred twenty-four".