3283008705 has 64 divisors (see below), whose sum is σ = 6018105600. Its totient is φ = 1696826880.

The previous prime is 3283008671. The next prime is 3283008719. The reversal of 3283008705 is 5078003823.

It is not a de Polignac number, because 3283008705 - 2¹⁰ = 3283007681 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3283008705.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1402426 + ... + 1404764.

It is an arithmetic number, because the mean of its divisors is an integer number (94032900).

Almost surely, 2^3283008705 is an apocalyptic number.

It is an amenable number.

3283008705 is a deficient number, since it is larger than the sum of its proper divisors (2735096895).

3283008705 is a wasteful number, since it uses less digits than its factorization.

3283008705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3283008705 is about 57297.5453662720. The cubic root of 3283008705 is about 1486.2459291597.

The spelling of 3283008705 in words is "three billion, two hundred eighty-three million, eight thousand, seven hundred five".