36436224 has 144 divisors (see below), whose sum is σ = 111847680. Its totient is φ = 10414080.

The previous prime is 36436223. The next prime is 36436237. The reversal of 36436224 is 42263463.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 36436191 and 36436200.

It is not an unprimeable number, because it can be changed into a prime (36436223) 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, 160399 + ... + 160625.

It is an arithmetic number, because the mean of its divisors is an integer number (776720).

Almost surely, 2^36436224 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 36436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55923840).

36436224 is an abundant number, since it is smaller than the sum of its proper divisors (75411456).

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

36436224 is a wasteful number, since it uses less digits than its factorization.

36436224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 36436224 is about 6036.2425398587. The cubic root of 36436224 is about 331.5210590645.

Adding to 36436224 its reverse (42263463), we get a palindrome (78699687).

The spelling of 36436224 in words is "thirty-six million, four hundred thirty-six thousand, two hundred twenty-four".