36201636 has 72 divisors (see below), whose sum is σ = 97788600. Its totient is φ = 11252736.

The previous prime is 36201623. The next prime is 36201637. The reversal of 36201636 is 63610263.

36201636 is a `hidden beast` number, since 3 + 6 + 20 + 1 + 636 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5731236 + 30470400 = 2394^2 + 5520^2 .

It is a super-3 number, since 3×36201636³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (36201637) 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, 90990 + ... + 91386.

It is an arithmetic number, because the mean of its divisors is an integer number (1358175).

Almost surely, 2^36201636 is an apocalyptic number.

36201636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36201636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48894300).

36201636 is an abundant number, since it is smaller than the sum of its proper divisors (61586964).

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

36201636 is a wasteful number, since it uses less digits than its factorization.

36201636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 36201636 is about 6016.7795372608. The cubic root of 36201636 is about 330.8080473257.

Adding to 36201636 its reverse (63610263), we get a palindrome (99811899).

The spelling of 36201636 in words is "thirty-six million, two hundred one thousand, six hundred thirty-six".