3382882833 has 16 divisors (see below), whose sum is σ = 4921834176. Its totient is φ = 2049699840.

The previous prime is 3382882831. The next prime is 3382882847.

3382882833 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3382882833 - 2¹ = 3382882831 is a prime.

It is a super-2 number, since 2×3382882833² = 22887792523612211778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3382882831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143241 + ... + 165177.

It is an arithmetic number, because the mean of its divisors is an integer number (307614636).

Almost surely, 2^3382882833 is an apocalyptic number.

3382882833 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3382882833 is a deficient number, since it is larger than the sum of its proper divisors (1538951343).

3382882833 is a wasteful number, since it uses less digits than its factorization.

3382882833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26624.

The product of its digits is 1327104, while the sum is 48.

The square root of 3382882833 is about 58162.5552482007. Note that the first 3 decimals coincide. The cubic root of 3382882833 is about 1501.1669190756.

The spelling of 3382882833 in words is "three billion, three hundred eighty-two million, eight hundred eighty-two thousand, eight hundred thirty-three".