36441216 has 96 divisors (see below), whose sum is σ = 119870400. Its totient is φ = 10409472.

The previous prime is 36441193. The next prime is 36441227. The reversal of 36441216 is 61214463.

36441216 is a `hidden beast` number, since 3 + 6 + 441 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 36441216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5805 + ... + 10323.

It is an arithmetic number, because the mean of its divisors is an integer number (1248650).

Almost surely, 2^36441216 is an apocalyptic number.

36441216 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 36441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59935200).

36441216 is an abundant number, since it is smaller than the sum of its proper divisors (83429184).

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

36441216 is a wasteful number, since it uses less digits than its factorization.

36441216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4531 counting only the distinct ones).

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

The square root of 36441216 is about 6036.6560279678. The cubic root of 36441216 is about 331.5361985546.

Adding to 36441216 its reverse (61214463), we get a palindrome (97655679).

The spelling of 36441216 in words is "thirty-six million, four hundred forty-one thousand, two hundred sixteen".