36638 has 8 divisors (see below), whose sum is σ = 62832. Its totient is φ = 15696.

The previous prime is 36637. The next prime is 36643. The reversal of 36638 is 83663.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-3 number, since 3×36638³ = 147542293338216, which contains 333 as substring.

It is an Ulam number.

It is a Curzon number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36637) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1295 + ... + 1322.

It is an arithmetic number, because the mean of its divisors is an integer number (7854).

2³⁶⁶³⁸ is an apocalyptic number.

36638 is a deficient number, since it is larger than the sum of its proper divisors (26194).

36638 is a wasteful number, since it uses less digits than its factorization.

36638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626.

The product of its digits is 2592, while the sum is 26.

The square root of 36638 is about 191.4105535230. The cubic root of 36638 is about 33.2131897078.

It can be divided in two parts, 366 and 38, that added together give a palindrome (404).

The spelling of 36638 in words is "thirty-six thousand, six hundred thirty-eight".