36300312 has 96 divisors (see below), whose sum is σ = 103783680. Its totient is φ = 11884320.

The previous prime is 36300311. The next prime is 36300323. The reversal of 36300312 is 21300363.

It is a happy number.

36300312 is a `hidden beast` number, since 3 + 630 + 0 + 31 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36300311) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 137893 + ... + 138155.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 2^36300312 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 36300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

36300312 is an abundant number, since it is smaller than the sum of its proper divisors (67483368).

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

36300312 is a wasteful number, since it uses less digits than its factorization.

36300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 339 counting only the distinct ones).

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

The square root of 36300312 is about 6024.9740248403. The cubic root of 36300312 is about 331.1083394744.

Adding to 36300312 its reverse (21300363), we get a palindrome (57600675).

The spelling of 36300312 in words is "thirty-six million, three hundred thousand, three hundred twelve".