3386968333 has 16 divisors (see below), whose sum is σ = 3998592000. Its totient is φ = 2807424000.

The previous prime is 3386968313. The next prime is 3386968349. The reversal of 3386968333 is 3338696833.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 3386968333 - 2¹⁷ = 3386837261 is a prime.

It is a super-2 number, since 2×3386968333² = 22943108977489597778, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386968313) 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, 342543 + ... + 352291.

It is an arithmetic number, because the mean of its divisors is an integer number (249912000).

Almost surely, 2^3386968333 is an apocalyptic number.

It is an amenable number.

3386968333 is a deficient number, since it is larger than the sum of its proper divisors (611623667).

3386968333 is a wasteful number, since it uses less digits than its factorization.

3386968333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11388.

The product of its digits is 5038848, while the sum is 52.

The square root of 3386968333 is about 58197.6660442668. Note that the first 3 decimals coincide. The cubic root of 3386968333 is about 1501.7709945996.

The spelling of 3386968333 in words is "three billion, three hundred eighty-six million, nine hundred sixty-eight thousand, three hundred thirty-three".