38640168 has 48 divisors (see below), whose sum is σ = 119602080. Its totient is φ = 11039904.

The previous prime is 38640149. The next prime is 38640179. The reversal of 38640168 is 86104683.

It is a happy number.

38640168 is a `hidden beast` number, since 3 + 8 + 640 + 1 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 37830 + ... + 38837.

It is an arithmetic number, because the mean of its divisors is an integer number (2491710).

Almost surely, 2^38640168 is an apocalyptic number.

It is an amenable number.

38640168 is an abundant number, since it is smaller than the sum of its proper divisors (80961912).

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

38640168 is a wasteful number, since it uses less digits than its factorization.

38640168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76686 (or 76679 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38640168 is about 6216.1216204318. The cubic root of 38640168 is about 338.0749574078.

The spelling of 38640168 in words is "thirty-eight million, six hundred forty thousand, one hundred sixty-eight".