3386116833 has 48 divisors (see below), whose sum is σ = 5259534336. Its totient is φ = 1920735520.

The previous prime is 3386116823. The next prime is 3386116843.

3386116833 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (3386116823) and next prime (3386116843).

It is not a de Polignac number, because 3386116833 - 2¹⁰ = 3386115809 is a prime.

It is a super-2 number, since 2×3386116833² = 22931574413451899778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3386116813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 818416 + ... + 822542.

It is an arithmetic number, because the mean of its divisors is an integer number (109573632).

Almost surely, 2^3386116833 is an apocalyptic number.

3386116833 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3386116833 is a deficient number, since it is larger than the sum of its proper divisors (1873417503).

3386116833 is a wasteful number, since it uses less digits than its factorization.

3386116833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234 (or 4211 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 3386116833 is about 58190.3499989474. The cubic root of 3386116833 is about 1501.6451332536.

The spelling of 3386116833 in words is "three billion, three hundred eighty-six million, one hundred sixteen thousand, eight hundred thirty-three".