38616 has 16 divisors (see below), whose sum is σ = 96600. Its totient is φ = 12864.

The previous prime is 38611. The next prime is 38629. The reversal of 38616 is 61683.

38616 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 (24), and also a Moran number because the ratio is a prime number: 1609 = 38616 / (3 + 8 + 6 + 1 + 6).

It is a nude number because it is divisible by every one of its digits.

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 38616.

It is not an unprimeable number, because it can be changed into a prime (38611) by changing a digit.

38616 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 3 ways as a sum of consecutive naturals, for example, 781 + ... + 828.

2³⁸⁶¹⁶ is an apocalyptic number.

It is an amenable number.

38616 is an abundant number, since it is smaller than the sum of its proper divisors (57984).

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 (48300).

38616 is a wasteful number, since it uses less digits than its factorization.

38616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1614 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 38616 is about 196.5095417531. The cubic root of 38616 is about 33.8004458235.

The spelling of 38616 in words is "thirty-eight thousand, six hundred sixteen".