36387216 has 60 divisors (see below), whose sum is σ = 103296960. Its totient is φ = 11954880.

The previous prime is 36387209. The next prime is 36387227. The reversal of 36387216 is 61278363.

It is a happy number.

36387216 is a `hidden beast` number, since 3 + 638 + 7 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

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 11 ways as a sum of consecutive naturals, for example, 8445 + ... + 12003.

It is an arithmetic number, because the mean of its divisors is an integer number (1721616).

Almost surely, 2^36387216 is an apocalyptic number.

36387216 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 36387216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51648480).

36387216 is an abundant number, since it is smaller than the sum of its proper divisors (66909744).

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

36387216 is a wasteful number, since it uses less digits than its factorization.

36387216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3635 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 36387216 is about 6032.1816948762. The cubic root of 36387216 is about 331.3723565548.

The spelling of 36387216 in words is "thirty-six million, three hundred eighty-seven thousand, two hundred sixteen".