3005003320 has 64 divisors (see below), whose sum is σ = 7383247200. Its totient is φ = 1091642880.

The previous prime is 3005003293. The next prime is 3005003329. The reversal of 3005003320 is 233005003.

3005003320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3005003320² = 18060089906422044800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3005003294 and 3005003303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005003329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537982 + ... + 543538.

Almost surely, 2^3005003320 is an apocalyptic number.

It is an amenable number.

3005003320 is an abundant number, since it is smaller than the sum of its proper divisors (4378243880).

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

3005003320 is a wasteful number, since it uses less digits than its factorization.

3005003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6808 (or 6804 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 16.

The square root of 3005003320 is about 54817.9105767449. The cubic root of 3005003320 is about 1443.0509067810.

Adding to 3005003320 its reverse (233005003), we get a palindrome (3238008323).

The spelling of 3005003320 in words is "three billion, five million, three thousand, three hundred twenty".