36387648 has 84 divisors (see below), whose sum is σ = 113800128. Its totient is φ = 11024640.

The previous prime is 36387643. The next prime is 36387661. The reversal of 36387648 is 84678363.

36387648 is a `hidden beast` number, since 3 + 638 + 7 + 6 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36387643) 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 11 ways as a sum of consecutive naturals, for example, 3465 + ... + 9207.

Almost surely, 2^36387648 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 36387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56900064).

36387648 is an abundant number, since it is smaller than the sum of its proper divisors (77412480).

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

36387648 is a wasteful number, since it uses less digits than its factorization.

36387648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772 (or 5759 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 36387648 is about 6032.2175027099. The cubic root of 36387648 is about 331.3736679338.

The spelling of 36387648 in words is "thirty-six million, three hundred eighty-seven thousand, six hundred forty-eight".