36366768 has 60 divisors (see below), whose sum is σ = 103238928. Its totient is φ = 11948160.

The previous prime is 36366763. The next prime is 36366769. The reversal of 36366768 is 86766363.

36366768 is a `hidden beast` number, since 3 + 636 + 6 + 7 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (36366761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8446 + ... + 12002.

Almost surely, 2^36366768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36366768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51619464).

36366768 is an abundant number, since it is smaller than the sum of its proper divisors (66872160).

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

36366768 is a wasteful number, since it uses less digits than its factorization.

36366768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642 (or 3633 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 36366768 is about 6030.4865475349. The cubic root of 36366768 is about 331.3102727395.

It can be divided in two parts, 3636 and 6768, that added together give a square (10404 = 102²).

The spelling of 36366768 in words is "thirty-six million, three hundred sixty-six thousand, seven hundred sixty-eight".