38360 has 32 divisors (see below), whose sum is σ = 99360. Its totient is φ = 13056.

The previous prime is 38351. The next prime is 38371. The reversal of 38360 is 6383.

38360 = 71² + 72² + ... + 77².

38360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 38360.

It is an unprimeable number.

38360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212 + ... + 348.

It is an arithmetic number, because the mean of its divisors is an integer number (3105).

2³⁸³⁶⁰ 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 38360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49680).

38360 is an abundant number, since it is smaller than the sum of its proper divisors (61000).

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

38360 is a wasteful number, since it uses less digits than its factorization.

38360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 38360 is about 195.8570907575. The cubic root of 38360 is about 33.7255881997.

The spelling of 38360 in words is "thirty-eight thousand, three hundred sixty".