36412224 has 56 divisors (see below), whose sum is σ = 96926400. Its totient is φ = 12063744.

The previous prime is 36412199. The next prime is 36412231. The reversal of 36412224 is 42221463.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 36412194 and 36412203.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 37732 + ... + 38684.

Almost surely, 2^36412224 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 36412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48463200).

36412224 is an abundant number, since it is smaller than the sum of its proper divisors (60514176).

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

36412224 is a wasteful number, since it uses less digits than its factorization.

36412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1157 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 36412224 is about 6034.2542206970. The cubic root of 36412224 is about 331.4482537431.

Adding to 36412224 its reverse (42221463), we get a palindrome (78633687).

The spelling of 36412224 in words is "thirty-six million, four hundred twelve thousand, two hundred twenty-four".