36216360 has 96 divisors (see below), whose sum is σ = 121797000. Its totient is φ = 9321984.

The previous prime is 36216353. The next prime is 36216373. The reversal of 36216360 is 6361263.

36216360 is a `hidden beast` number, since 3 + 6 + 21 + 636 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19027044 + 17189316 = 4362^2 + 4146^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8706 + ... + 12174.

Almost surely, 2^36216360 is an apocalyptic number.

36216360 is a gapful number since it is divisible by the number (30) 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 36216360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60898500).

36216360 is an abundant number, since it is smaller than the sum of its proper divisors (85580640).

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

36216360 is a wasteful number, since it uses less digits than its factorization.

36216360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 36216360 is about 6018.0029910262. The cubic root of 36216360 is about 330.8528902115.

The spelling of 36216360 in words is "thirty-six million, two hundred sixteen thousand, three hundred sixty".