636106338 has 96 divisors (see below), whose sum is σ = 1651777920. Its totient is φ = 180925920.

The previous prime is 636106337. The next prime is 636106363. The reversal of 636106338 is 833601636.

636106338 is a `hidden beast` number, since 6 + 3 + 6 + 10 + 633 + 8 = 666.

636106338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (636106337) 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, 822520 + ... + 823292.

It is an arithmetic number, because the mean of its divisors is an integer number (17206020).

Almost surely, 2^636106338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 636106338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825888960).

636106338 is an abundant number, since it is smaller than the sum of its proper divisors (1015671582).

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

636106338 is a wasteful number, since it uses less digits than its factorization.

636106338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1096 counting only the distinct ones).

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

The square root of 636106338 is about 25221.1486257070. The cubic root of 636106338 is about 860.0226864396.

The spelling of 636106338 in words is "six hundred thirty-six million, one hundred six thousand, three hundred thirty-eight".