36784384 has 72 divisors (see below), whose sum is σ = 90426560. Its totient is φ = 14542848.

The previous prime is 36784381. The next prime is 36784417. The reversal of 36784384 is 48348763.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 36784384.

It is not an unprimeable number, because it can be changed into a prime (36784381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22507 + ... + 24085.

Almost surely, 2^36784384 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 36784384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45213280).

36784384 is an abundant number, since it is smaller than the sum of its proper divisors (53642176).

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

36784384 is a wasteful number, since it uses less digits than its factorization.

36784384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1601 counting only the distinct ones).

The product of its digits is 387072, while the sum is 43.

The square root of 36784384 is about 6065.0131079825. The cubic root of 36784384 is about 332.5736441546.

The spelling of 36784384 in words is "thirty-six million, seven hundred eighty-four thousand, three hundred eighty-four".