3382818129 has 48 divisors (see below), whose sum is σ = 5209822800. Its totient is φ = 2111090688.

The previous prime is 3382818107. The next prime is 3382818137. The reversal of 3382818129 is 9218182833.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 181521729 + 3201296400 = 13473^2 + 56580^2 .

It is not a de Polignac number, because 3382818129 - 2⁵ = 3382818097 is a prime.

It is a super-2 number, since 2×3382818129² = 22886916987782121282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3382818139) 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, 4181077 + ... + 4181885.

It is an arithmetic number, because the mean of its divisors is an integer number (108537975).

Almost surely, 2^3382818129 is an apocalyptic number.

It is an amenable number.

3382818129 is a deficient number, since it is larger than the sum of its proper divisors (1827004671).

3382818129 is a wasteful number, since it uses less digits than its factorization.

3382818129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1311 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 3382818129 is about 58161.9990113820. Note that the first 3 decimals coincide. The cubic root of 3382818129 is about 1501.1573481339.

The spelling of 3382818129 in words is "three billion, three hundred eighty-two million, eight hundred eighteen thousand, one hundred twenty-nine".