38320 has 20 divisors (see below), whose sum is σ = 89280. Its totient is φ = 15296.

The previous prime is 38317. The next prime is 38321. The reversal of 38320 is 2383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 38294 and 38303.

It is not an unprimeable number, because it can be changed into a prime (38321) by changing a digit.

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, 160 + ... + 319.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

2³⁸³²⁰ is an apocalyptic number.

38320 is the 160-th pentagonal number.

It is an amenable number.

38320 is an abundant number, since it is smaller than the sum of its proper divisors (50960).

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 (44640).

38320 is a wasteful number, since it uses less digits than its factorization.

38320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 38320 is about 195.7549488519. The cubic root of 38320 is about 33.7138616381.

Subtracting from 38320 its reverse (2383), we obtain a cube (35937 = 33³).

The spelling of 38320 in words is "thirty-eight thousand, three hundred twenty".