36306144 has 288 divisors, whose sum is σ = 132088320. Its totient is φ = 9580032.

The previous prime is 36306143. The next prime is 36306187. The reversal of 36306144 is 44160363.

36306144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36306143) 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 47 ways as a sum of consecutive naturals, for example, 1251922 + ... + 1251950.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 2^36306144 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 36306144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

36306144 is an abundant number, since it is smaller than the sum of its proper divisors (95782176).

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

36306144 is a wasteful number, since it uses less digits than its factorization.

36306144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 36306144 is about 6025.4579908916. The cubic root of 36306144 is about 331.1260704554.

The spelling of 36306144 in words is "thirty-six million, three hundred six thousand, one hundred forty-four".