363636216 has 80 divisors (see below), whose sum is σ = 1043436240. Its totient is φ = 118247040.

The previous prime is 363636209. The next prime is 363636253. The reversal of 363636216 is 612636363.

It is a happy number.

363636216 is a `hidden beast` number, since 3 + 6 + 3 + 636 + 2 + 16 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19725 + ... + 33411.

It is an arithmetic number, because the mean of its divisors is an integer number (13042953).

Almost surely, 2^363636216 is an apocalyptic number.

363636216 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 363636216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521718120).

363636216 is an abundant number, since it is smaller than the sum of its proper divisors (679800024).

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

363636216 is a wasteful number, since it uses less digits than its factorization.

363636216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13746 (or 13733 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 363636216 is about 19069.2479138533. The cubic root of 363636216 is about 713.7657589073.

The spelling of 363636216 in words is "three hundred sixty-three million, six hundred thirty-six thousand, two hundred sixteen".