36000360 has 96 divisors (see below), whose sum is σ = 127651680. Its totient is φ = 8726400.

The previous prime is 36000347. The next prime is 36000361. The reversal of 36000360 is 6300063.

36000360 is a `hidden beast` number, since 3 + 600 + 0 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (36000361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586 + ... + 8505.

It is an arithmetic number, because the mean of its divisors is an integer number (1329705).

Almost surely, 2^36000360 is an apocalyptic number.

36000360 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 36000360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63825840).

36000360 is an abundant number, since it is smaller than the sum of its proper divisors (91651320).

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

36000360 is a wasteful number, since it uses less digits than its factorization.

36000360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9119 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 36000360 is about 6000.0299999250. The cubic root of 36000360 is about 330.1938255282.

It can be divided in two parts, 360003 and 60, that added together give a palindrome (360063).

The spelling of 36000360 in words is "thirty-six million, three hundred sixty", and thus it is an aban number.