36442224 has 240 divisors, whose sum is σ = 131436032. Its totient is φ = 9517824.

The previous prime is 36442223. The next prime is 36442253. The reversal of 36442224 is 42224463.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

Its product of digits (9216) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36442223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353757 + ... + 353859.

Almost surely, 2^36442224 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 36442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65718016).

36442224 is an abundant number, since it is smaller than the sum of its proper divisors (94993808).

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

36442224 is a wasteful number, since it uses less digits than its factorization.

36442224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 128 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 36442224 is about 6036.7395173222. The cubic root of 36442224 is about 331.5392553992.

Adding to 36442224 its reverse (42224463), we get a palindrome (78666687).

The spelling of 36442224 in words is "thirty-six million, four hundred forty-two thousand, two hundred twenty-four".