36448384 has 64 divisors (see below), whose sum is σ = 87393600. Its totient is φ = 14791680.

The previous prime is 36448369. The next prime is 36448397. The reversal of 36448384 is 48384463.

It is a happy number.

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

It is a super-2 number, since 2×36448384² = 2656969392422912, which contains 22 as substring.

It is an unprimeable number.

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, 15954 + ... + 18094.

It is an arithmetic number, because the mean of its divisors is an integer number (1365525).

Almost surely, 2^36448384 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 36448384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43696800).

36448384 is an abundant number, since it is smaller than the sum of its proper divisors (50945216).

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

36448384 is a wasteful number, since it uses less digits than its factorization.

36448384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2169 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The square root of 36448384 is about 6037.2497049567. The cubic root of 36448384 is about 331.5579348917.

The spelling of 36448384 in words is "thirty-six million, four hundred forty-eight thousand, three hundred eighty-four".