386336106 has 72 divisors (see below), whose sum is σ = 942650436. Its totient is φ = 113667840.

The previous prime is 386336081. The next prime is 386336107. The reversal of 386336106 is 601633683.

386336106 is a `hidden beast` number, since 3 + 8 + 6 + 33 + 610 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 271953081 + 114383025 = 16491^2 + 10695^2 .

It is not an unprimeable number, because it can be changed into a prime (386336107) 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 35 ways as a sum of consecutive naturals, for example, 122226 + ... + 125346.

Almost surely, 2^386336106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386336106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471325218).

386336106 is an abundant number, since it is smaller than the sum of its proper divisors (556314330).

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

386336106 is a wasteful number, since it uses less digits than its factorization.

386336106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 386336106 is about 19655.4345156753. The cubic root of 386336106 is about 728.3192117915.

Adding to 386336106 its reverse (601633683), we get a palindrome (987969789).

The spelling of 386336106 in words is "three hundred eighty-six million, three hundred thirty-six thousand, one hundred six".