36013824 has 324 divisors, whose sum is σ = 136314360. Its totient is φ = 9031680.

The previous prime is 36013819. The next prime is 36013843. The reversal of 36013824 is 42831063.

It is a happy number.

36013824 is a `hidden beast` number, since 3 + 601 + 38 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1241842 + ... + 1241870.

Almost surely, 2^36013824 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 36013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68157180).

36013824 is an abundant number, since it is smaller than the sum of its proper divisors (100300536).

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

36013824 is a wasteful number, since it uses less digits than its factorization.

36013824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 36013824 is about 6001.1518894292. The cubic root of 36013824 is about 330.2349841495.

Adding to 36013824 its reverse (42831063), we get a palindrome (78844887).

The spelling of 36013824 in words is "thirty-six million, thirteen thousand, eight hundred twenty-four".