36342384 has 80 divisors (see below), whose sum is σ = 102076800. Its totient is φ = 11075328.

The previous prime is 36342377. The next prime is 36342389. The reversal of 36342384 is 48324363.

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

Its product of digits (41472) is a multiple of the sum of its prime divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36342389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86527 + ... + 86945.

It is an arithmetic number, because the mean of its divisors is an integer number (1275960).

Almost surely, 2^36342384 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 36342384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51038400).

36342384 is an abundant number, since it is smaller than the sum of its proper divisors (65734416).

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

36342384 is a wasteful number, since it uses less digits than its factorization.

36342384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 576 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 36342384 is about 6028.4644811096. The cubic root of 36342384 is about 331.2362080884.

The spelling of 36342384 in words is "thirty-six million, three hundred forty-two thousand, three hundred eighty-four".