36544224 has 48 divisors (see below), whose sum is σ = 96904080. Its totient is φ = 12057600.

The previous prime is 36544219. The next prime is 36544229. The reversal of 36544224 is 42244563.

36544224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36544219) and next prime (36544229).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 36544191 and 36544200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36544229) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7812 + ... + 11580.

It is an arithmetic number, because the mean of its divisors is an integer number (2018835).

Almost surely, 2^36544224 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 36544224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48452040).

36544224 is an abundant number, since it is smaller than the sum of its proper divisors (60359856).

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

36544224 is a wasteful number, since it uses less digits than its factorization.

36544224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883 (or 3875 counting only the distinct ones).

The product of its digits is 23040, while the sum is 30.

The square root of 36544224 is about 6045.1818831198. The cubic root of 36544224 is about 331.8482879682.

Adding to 36544224 its reverse (42244563), we get a palindrome (78788787).

The spelling of 36544224 in words is "thirty-six million, five hundred forty-four thousand, two hundred twenty-four".