36384912 has 60 divisors (see below), whose sum is σ = 104594620. Its totient is φ = 11798784.

The previous prime is 36384893. The next prime is 36384941. The reversal of 36384912 is 21948363.

36384912 is a `hidden beast` number, since 3 + 638 + 4 + 9 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26873856 + 9511056 = 5184^2 + 3084^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1914 + ... + 8742.

Almost surely, 2^36384912 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 36384912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52297310).

36384912 is an abundant number, since it is smaller than the sum of its proper divisors (68209708).

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

36384912 is a wasteful number, since it uses less digits than its factorization.

36384912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880 (or 6871 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 36384912 is about 6031.9907161732. The cubic root of 36384912 is about 331.3653623583.

The spelling of 36384912 in words is "thirty-six million, three hundred eighty-four thousand, nine hundred twelve".