36579312 has 120 divisors (see below), whose sum is σ = 127670400. Its totient is φ = 9498240.

The previous prime is 36579311. The next prime is 36579329. The reversal of 36579312 is 21397563.

36579312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36579311) 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 23 ways as a sum of consecutive naturals, for example, 9439 + ... + 12737.

It is an arithmetic number, because the mean of its divisors is an integer number (1063920).

Almost surely, 2^36579312 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 36579312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63835200).

36579312 is an abundant number, since it is smaller than the sum of its proper divisors (91091088).

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

36579312 is a wasteful number, since it uses less digits than its factorization.

36579312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3322 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 36579312 is about 6048.0833327592. The cubic root of 36579312 is about 331.9544622306.

The spelling of 36579312 in words is "thirty-six million, five hundred seventy-nine thousand, three hundred twelve".