38768 has 10 divisors (see below), whose sum is σ = 75144. Its totient is φ = 19376.

The previous prime is 38767. The next prime is 38783. The reversal of 38768 is 86783.

38768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1196 + ... + 1227.

2³⁸⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

38768 is a deficient number, since it is larger than the sum of its proper divisors (36376).

38768 is a wasteful number, since it uses less digits than its factorization.

38768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2425 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 38768 is about 196.8959115878. The cubic root of 38768 is about 33.8447361135.

The spelling of 38768 in words is "thirty-eight thousand, seven hundred sixty-eight".