36168384 has 112 divisors (see below), whose sum is σ = 115872768. Its totient is φ = 9719808.

The previous prime is 36168383. The next prime is 36168389. The reversal of 36168384 is 48386163.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (36168383) 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 15 ways as a sum of consecutive naturals, for example, 22057 + ... + 23639.

Almost surely, 2^36168384 is an apocalyptic number.

36168384 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36168384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57936384).

36168384 is an abundant number, since it is smaller than the sum of its proper divisors (79704384).

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

36168384 is a wasteful number, since it uses less digits than its factorization.

36168384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1612 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 36168384 is about 6014.0156301759. The cubic root of 36168384 is about 330.7067314733.

The spelling of 36168384 in words is "thirty-six million, one hundred sixty-eight thousand, three hundred eighty-four".