3324004033 has 24 divisors (see below), whose sum is σ = 4098307752. Its totient is φ = 2678828544.

The previous prime is 3324003959. The next prime is 3324004037. The reversal of 3324004033 is 3304004233.

It can be written as a sum of positive squares in 4 ways, for example, as 305270784 + 3018733249 = 17472^2 + 54943^2 .

It is not a de Polignac number, because 3324004033 - 2²⁵ = 3290449601 is a prime.

It is a super-2 number, since 2×3324004033² = 22098005622800530178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3324003995 and 3324004013.

It is not an unprimeable number, because it can be changed into a prime (3324004037) by changing a digit.

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, 1409091 + ... + 1411447.

It is an arithmetic number, because the mean of its divisors is an integer number (170762823).

Almost surely, 2^3324004033 is an apocalyptic number.

It is an amenable number.

3324004033 is a deficient number, since it is larger than the sum of its proper divisors (774303719).

3324004033 is a wasteful number, since it uses less digits than its factorization.

3324004033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4081 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 3324004033 is about 57654.1761973927. The cubic root of 3324004033 is about 1492.4066676577.

Adding to 3324004033 its reverse (3304004233), we get a palindrome (6628008266).

The spelling of 3324004033 in words is "three billion, three hundred twenty-four million, four thousand, thirty-three".