36385024 has 81 divisors (see below), whose sum is σ = 81449823. Its totient is φ = 16214016.

The previous prime is 36385007. The next prime is 36385039. The reversal of 36385024 is 42058363.

The square root of 36385024 is 6032.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4665600 + 31719424 = 2160^2 + 5632^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1254642 + ... + 1254670.

Almost surely, 2^36385024 is an apocalyptic number.

36385024 is the 6032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36385024

36385024 is an abundant number, since it is smaller than the sum of its proper divisors (45064799).

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

36385024 is an equidigital number, since it uses as much as digits as its factorization.

36385024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The cubic root of 36385024 is about 331.3657023608.

The spelling of 36385024 in words is "thirty-six million, three hundred eighty-five thousand, twenty-four".