36638118 has 48 divisors (see below), whose sum is σ = 91166400. Its totient is φ = 10517040.

The previous prime is 36638117. The next prime is 36638123. The reversal of 36638118 is 81183663.

36638118 is a `hidden beast` number, since 3 + 6 + 638 + 1 + 18 = 666.

36638118 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36638117) 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 23 ways as a sum of consecutive naturals, for example, 1108 + ... + 8631.

It is an arithmetic number, because the mean of its divisors is an integer number (1899300).

Almost surely, 2^36638118 is an apocalyptic number.

36638118 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

36638118 is an abundant number, since it is smaller than the sum of its proper divisors (54528282).

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

36638118 is a wasteful number, since it uses less digits than its factorization.

36638118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9777 (or 9774 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 36638118 is about 6052.9429205966. The cubic root of 36638118 is about 332.1322536430.

It can be divided in two parts, 3663 and 8118, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 36638118 in words is "thirty-six million, six hundred thirty-eight thousand, one hundred eighteen".