36384640 has 64 divisors (see below), whose sum is σ = 87822000. Its totient is φ = 14413824.

The previous prime is 36384631. The next prime is 36384683. The reversal of 36384640 is 4648363.

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

It is a junction number, because it is equal to n+sod(n) for n = 36384596 and 36384605.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 88756 + ... + 89164.

Almost surely, 2^36384640 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 36384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43911000).

36384640 is an abundant number, since it is smaller than the sum of its proper divisors (51437360).

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

36384640 is a wasteful number, since it uses less digits than its factorization.

36384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 36384640 is about 6031.9681696773. The cubic root of 36384640 is about 331.3645366350.

The spelling of 36384640 in words is "thirty-six million, three hundred eighty-four thousand, six hundred forty".