36384384 has 64 divisors (see below), whose sum is σ = 99046080. Its totient is φ = 11827200.

The previous prime is 36384377. The next prime is 36384389. The reversal of 36384384 is 48348363.

It is a tau number, because it is divible by the number of its divisors (64).

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 (36384389) 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, 14589 + ... + 16899.

It is an arithmetic number, because the mean of its divisors is an integer number (1547595).

Almost surely, 2^36384384 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 36384384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49523040).

36384384 is an abundant number, since it is smaller than the sum of its proper divisors (62661696).

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

36384384 is a wasteful number, since it uses less digits than its factorization.

36384384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2357 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 36384384 is about 6031.9469493688. The cubic root of 36384384 is about 331.3637594800.

The spelling of 36384384 in words is "thirty-six million, three hundred eighty-four thousand, three hundred eighty-four".