33034212224 has 64 divisors (see below), whose sum is σ = 71038658880. Its totient is φ = 15210854400.

The previous prime is 33034212223. The next prime is 33034212227. The reversal of 33034212224 is 42221243033.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 33034212193 and 33034212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33034212223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 694154 + ... + 740214.

It is an arithmetic number, because the mean of its divisors is an integer number (1109979045).

Almost surely, 2^33034212224 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 33034212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35519329440).

33034212224 is an abundant number, since it is smaller than the sum of its proper divisors (38004446656).

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

33034212224 is a wasteful number, since it uses less digits than its factorization.

33034212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46519 (or 46507 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 33034212224 its reverse (42221243033), we get a palindrome (75255455257).

The spelling of 33034212224 in words is "thirty-three billion, thirty-four million, two hundred twelve thousand, two hundred twenty-four".