3382138217 has 16 divisors (see below), whose sum is σ = 3547702800. Its totient is φ = 3221222400.

The previous prime is 3382138181. The next prime is 3382138273. The reversal of 3382138217 is 7128312833.

It can be written as a sum of positive squares in 8 ways, for example, as 1135757401 + 2246380816 = 33701^2 + 47396^2 .

It is a cyclic number.

It is not a de Polignac number, because 3382138217 - 2⁶ = 3382138153 is a prime.

It is a super-2 number, since 2×3382138217² = 22877717837783878178, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3382138817) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 327509 + ... + 337677.

It is an arithmetic number, because the mean of its divisors is an integer number (221731425).

Almost surely, 2^3382138217 is an apocalyptic number.

3382138217 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

3382138217 is a deficient number, since it is larger than the sum of its proper divisors (165564583).

3382138217 is a wasteful number, since it uses less digits than its factorization.

3382138217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10396.

The product of its digits is 48384, while the sum is 38.

The square root of 3382138217 is about 58156.1537328596. The cubic root of 3382138217 is about 1501.0567689477.

The spelling of 3382138217 in words is "three billion, three hundred eighty-two million, one hundred thirty-eight thousand, two hundred seventeen".