36224496 has 240 divisors, whose sum is σ = 132158208. Its totient is φ = 9408960.

The previous prime is 36224479. The next prime is 36224537. The reversal of 36224496 is 69442263.

36224496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36224496² = 2624428220908032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 self number, because there is not a number n which added to its sum of digits gives 36224496.

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 47 ways as a sum of consecutive naturals, for example, 3293131 + ... + 3293141.

Almost surely, 2^36224496 is an apocalyptic number.

36224496 is a gapful number since it is divisible by the number (36) 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 36224496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66079104).

36224496 is an abundant number, since it is smaller than the sum of its proper divisors (95933712).

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

36224496 is an equidigital number, since it uses as much as digits as its factorization.

36224496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 23 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 36224496 is about 6018.6789248140. The cubic root of 36224496 is about 330.8776637077.

It can be divided in two parts, 3622 and 4496, that added together give a palindrome (8118).

The spelling of 36224496 in words is "thirty-six million, two hundred twenty-four thousand, four hundred ninety-six".