38368 has 24 divisors (see below), whose sum is σ = 83160. Its totient is φ = 17280.

The previous prime is 38351. The next prime is 38371. The reversal of 38368 is 86383.

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 298 + ... + 406.

It is an arithmetic number, because the mean of its divisors is an integer number (3465).

2³⁸³⁶⁸ 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 38368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41580).

38368 is an abundant number, since it is smaller than the sum of its proper divisors (44792).

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

38368 is a wasteful number, since it uses less digits than its factorization.

38368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 122 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 38368 is about 195.8775127471. The cubic root of 38368 is about 33.7279325336.

It can be divided in two parts, 3836 and 8, that added together give a square (3844 = 62²).

The spelling of 38368 in words is "thirty-eight thousand, three hundred sixty-eight".