36424116 has 72 divisors (see below), whose sum is σ = 96314400. Its totient is φ = 11592000.

The previous prime is 36424109. The next prime is 36424117. The reversal of 36424116 is 61142463.

36424116 is a `hidden beast` number, since 3 + 642 + 4 + 1 + 16 = 666.

36424116 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 self number, because there is not a number n which added to its sum of digits gives 36424116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36424117) 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 23 ways as a sum of consecutive naturals, for example, 144991 + ... + 145241.

It is an arithmetic number, because the mean of its divisors is an integer number (1337700).

Almost surely, 2^36424116 is an apocalyptic number.

36424116 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 36424116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48157200).

36424116 is an abundant number, since it is smaller than the sum of its proper divisors (59890284).

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

36424116 is a wasteful number, since it uses less digits than its factorization.

36424116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 424 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 36424116 is about 6035.2395147169. The cubic root of 36424116 is about 331.4843327772.

Adding to 36424116 its reverse (61142463), we get a palindrome (97566579).

The spelling of 36424116 in words is "thirty-six million, four hundred twenty-four thousand, one hundred sixteen".