3382814106 has 48 divisors (see below), whose sum is σ = 8413142400. Its totient is φ = 962289504.

The previous prime is 3382814089. The next prime is 3382814107. The reversal of 3382814106 is 6014182833.

3382814106 is a `hidden beast` number, since 338 + 281 + 41 + 0 + 6 = 666.

It is a super-2 number, since 2×3382814106² = 22886862551505158472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3382814107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29766 + ... + 87473.

It is an arithmetic number, because the mean of its divisors is an integer number (175273800).

Almost surely, 2^3382814106 is an apocalyptic number.

3382814106 is an abundant number, since it is smaller than the sum of its proper divisors (5030328294).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3382814106 is a wasteful number, since it uses less digits than its factorization.

3382814106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117483 (or 117480 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3382814106 is about 58161.9644269345. The cubic root of 3382814106 is about 1501.1567530523.

Adding to 3382814106 its reverse (6014182833), we get a palindrome (9396996939).

The spelling of 3382814106 in words is "three billion, three hundred eighty-two million, eight hundred fourteen thousand, one hundred six".