36364224 has 112 divisors (see below), whose sum is σ = 109837728. Its totient is φ = 10518528.

The previous prime is 36364213. The next prime is 36364259. The reversal of 36364224 is 42246363.

It is a happy number.

36364224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 36364191 and 36364200.

It is a congruent number.

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, 42004 + ... + 42860.

It is an arithmetic number, because the mean of its divisors is an integer number (980694).

Almost surely, 2^36364224 is an apocalyptic number.

36364224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36364224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54918864).

36364224 is an abundant number, since it is smaller than the sum of its proper divisors (73473504).

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

36364224 is a wasteful number, since it uses less digits than its factorization.

36364224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 892 counting only the distinct ones).

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

The square root of 36364224 is about 6030.2756155917. The cubic root of 36364224 is about 331.3025470691.

The spelling of 36364224 in words is "thirty-six million, three hundred sixty-four thousand, two hundred twenty-four".