36849384 has 128 divisors (see below), whose sum is σ = 120355200. Its totient is φ = 10298880.

The previous prime is 36849377. The next prime is 36849389. The reversal of 36849384 is 48394863.

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 (36849389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30292 + ... + 31484.

It is an arithmetic number, because the mean of its divisors is an integer number (940275).

Almost surely, 2^36849384 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 36849384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60177600).

36849384 is an abundant number, since it is smaller than the sum of its proper divisors (83505816).

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

36849384 is a wasteful number, since it uses less digits than its factorization.

36849384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1222 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 36849384 is about 6070.3693462589. The cubic root of 36849384 is about 332.7694207680.

The spelling of 36849384 in words is "thirty-six million, eight hundred forty-nine thousand, three hundred eighty-four".