36388648 has 32 divisors (see below), whose sum is σ = 73584000. Its totient is φ = 16813440.

The previous prime is 36388643. The next prime is 36388661. The reversal of 36388648 is 84688363.

36388648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 36388598 and 36388607.

It is not an unprimeable number, because it can be changed into a prime (36388643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3313 + ... + 9151.

It is an arithmetic number, because the mean of its divisors is an integer number (2299500).

Almost surely, 2^36388648 is an apocalyptic number.

36388648 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

36388648 is an abundant number, since it is smaller than the sum of its proper divisors (37195352).

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

36388648 is a wasteful number, since it uses less digits than its factorization.

36388648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5905 (or 5901 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The square root of 36388648 is about 6032.3003903983. The cubic root of 36388648 is about 331.3767034935.

The spelling of 36388648 in words is "thirty-six million, three hundred eighty-eight thousand, six hundred forty-eight".