36033824 has 48 divisors (see below), whose sum is σ = 74716992. Its totient is φ = 17073408.

The previous prime is 36033821. The next prime is 36033841. The reversal of 36033824 is 42833063.

It is not an unprimeable number, because it can be changed into a prime (36033821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127187 + ... + 127469.

It is an arithmetic number, because the mean of its divisors is an integer number (1556604).

Almost surely, 2^36033824 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 36033824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37358496).

36033824 is an abundant number, since it is smaller than the sum of its proper divisors (38683168).

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

36033824 is a wasteful number, since it uses less digits than its factorization.

36033824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 36033824 is about 6002.8180049040. The cubic root of 36033824 is about 330.2961039891.

Adding to 36033824 its reverse (42833063), we get a palindrome (78866887).

The spelling of 36033824 in words is "thirty-six million, thirty-three thousand, eight hundred twenty-four".