3300133032 has 96 divisors (see below), whose sum is σ = 10257811200. Its totient is φ = 938915712.

The previous prime is 3300133027. The next prime is 3300133043. The reversal of 3300133032 is 2303310033.

3300133032 is a `hidden beast` number, since 3 + 300 + 1 + 330 + 32 = 666.

It is a super-4 number, since 4×3300133032⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3300132996 and 3300133014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106758 + ... + 134154.

It is an arithmetic number, because the mean of its divisors is an integer number (106852200).

Almost surely, 2^3300133032 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 3300133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5128905600).

3300133032 is an abundant number, since it is smaller than the sum of its proper divisors (6957678168).

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

3300133032 is a wasteful number, since it uses less digits than its factorization.

3300133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27655 (or 27648 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 3300133032 is about 57446.7843486474. The cubic root of 3300133032 is about 1488.8255586224.

Adding to 3300133032 its reverse (2303310033), we get a palindrome (5603443065).

The spelling of 3300133032 in words is "three billion, three hundred million, one hundred thirty-three thousand, thirty-two".