36126384 has 80 divisors (see below), whose sum is σ = 108088320. Its totient is φ = 10183680.

The previous prime is 36126367. The next prime is 36126397. The reversal of 36126384 is 48362163.

36126384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25864 + ... + 27224.

It is an arithmetic number, because the mean of its divisors is an integer number (1351104).

Almost surely, 2^36126384 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 36126384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54044160).

36126384 is an abundant number, since it is smaller than the sum of its proper divisors (71961936).

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

36126384 is a wasteful number, since it uses less digits than its factorization.

36126384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1452 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 36126384 is about 6010.5227726047. The cubic root of 36126384 is about 330.5786724611.

The spelling of 36126384 in words is "thirty-six million, one hundred twenty-six thousand, three hundred eighty-four".