36636288 has 128 divisors (see below), whose sum is σ = 107956800. Its totient is φ = 10936320.

The previous prime is 36636277. The next prime is 36636289. The reversal of 36636288 is 88263663.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (36636289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204583 + ... + 204761.

Almost surely, 2^36636288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36636288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53978400).

36636288 is an abundant number, since it is smaller than the sum of its proper divisors (71320512).

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

36636288 is a wasteful number, since it uses less digits than its factorization.

36636288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 36636288 is about 6052.7917525717. The cubic root of 36636288 is about 332.1267237725.

The spelling of 36636288 in words is "thirty-six million, six hundred thirty-six thousand, two hundred eighty-eight".