36288108 has 48 divisors (see below), whose sum is σ = 94497760. Its totient is φ = 12042432.

The previous prime is 36288061. The next prime is 36288139. The reversal of 36288108 is 80188263.

36288108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29310 + ... + 30522.

Almost surely, 2^36288108 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 36288108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47248880).

36288108 is an abundant number, since it is smaller than the sum of its proper divisors (58209652).

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

36288108 is a wasteful number, since it uses less digits than its factorization.

36288108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 36288108 is about 6023.9611552532. The cubic root of 36288108 is about 331.0712296088.

The spelling of 36288108 in words is "thirty-six million, two hundred eighty-eight thousand, one hundred eight".