36216288 has 96 divisors (see below), whose sum is σ = 106686720. Its totient is φ = 11952000.

The previous prime is 36216287. The next prime is 36216347. The reversal of 36216288 is 88261263.

36216288 is a `hidden beast` number, since 3 + 6 + 21 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36216287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144163 + ... + 144413.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 2^36216288 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 36216288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53343360).

36216288 is an abundant number, since it is smaller than the sum of its proper divisors (70470432).

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

36216288 is a wasteful number, since it uses less digits than its factorization.

36216288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 423 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 36216288 is about 6017.9970089723. The cubic root of 36216288 is about 330.8526709604.

Adding to 36216288 its sum of digits (36), we get a square (36216324 = 6018²).

The spelling of 36216288 in words is "thirty-six million, two hundred sixteen thousand, two hundred eighty-eight".