3330409264 has 80 divisors (see below), whose sum is σ = 8103995200. Its totient is φ = 1317496320.

The previous prime is 3330409193. The next prime is 3330409289. The reversal of 3330409264 is 4629040333.

It is a super-2 number, since 2×3330409264² = 22183251731474043392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48004 + ... + 94684.

It is an arithmetic number, because the mean of its divisors is an integer number (101299940).

Almost surely, 2^3330409264 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 3330409264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051997600).

3330409264 is an abundant number, since it is smaller than the sum of its proper divisors (4773585936).

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

3330409264 is a wasteful number, since it uses less digits than its factorization.

3330409264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46723 (or 46703 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

The square root of 3330409264 is about 57709.6981797687. The cubic root of 3330409264 is about 1493.3646564610.

Adding to 3330409264 its reverse (4629040333), we get a palindrome (7959449597).

The spelling of 3330409264 in words is "three billion, three hundred thirty million, four hundred nine thousand, two hundred sixty-four".