36144384 has 72 divisors (see below), whose sum is σ = 101300640. Its totient is φ = 11409408.

The previous prime is 36144379. The next prime is 36144401. The reversal of 36144384 is 48344163.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13354 + ... + 15830.

Almost surely, 2^36144384 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 36144384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50650320).

36144384 is an abundant number, since it is smaller than the sum of its proper divisors (65156256).

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

36144384 is a wasteful number, since it uses less digits than its factorization.

36144384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515 (or 2501 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 36144384 is about 6012.0199600467. The cubic root of 36144384 is about 330.6335670418.

The spelling of 36144384 in words is "thirty-six million, one hundred forty-four thousand, three hundred eighty-four".