38168 has 16 divisors (see below), whose sum is σ = 77280. Its totient is φ = 17568.

The previous prime is 38167. The next prime is 38177. The reversal of 38168 is 86183.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38168.

It is not an unprimeable number, because it can be changed into a prime (38167) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (4830).

2³⁸¹⁶⁸ is an apocalyptic number.

It is an amenable number.

38168 is an abundant number, since it is smaller than the sum of its proper divisors (39112).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38640).

38168 is a wasteful number, since it uses less digits than its factorization.

38168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 382 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 38168 is about 195.3663225840. The cubic root of 38168 is about 33.6692261340.

The spelling of 38168 in words is "thirty-eight thousand, one hundred sixty-eight".