36368320 has 56 divisors (see below), whose sum is σ = 89611200. Its totient is φ = 14042112.

The previous prime is 36368281. The next prime is 36368323. The reversal of 36368320 is 2386363.

It is a happy number.

36368320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36368323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7321 + ... + 11239.

It is an arithmetic number, because the mean of its divisors is an integer number (1600200).

Almost surely, 2^36368320 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 36368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44805600).

36368320 is an abundant number, since it is smaller than the sum of its proper divisors (53242880).

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

36368320 is a wasteful number, since it uses less digits than its factorization.

36368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 36368320 is about 6030.6152256631. The cubic root of 36368320 is about 331.3149857074.

The spelling of 36368320 in words is "thirty-six million, three hundred sixty-eight thousand, three hundred twenty".