38916 has 36 divisors (see below), whose sum is σ = 104832. Its totient is φ = 12144.

The previous prime is 38903. The next prime is 38917. The reversal of 38916 is 61983.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 38916.

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 38916.

It is not an unprimeable number, because it can be changed into a prime (38917) by changing a digit.

38916 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 11 ways as a sum of consecutive naturals, for example, 805 + ... + 851.

It is an arithmetic number, because the mean of its divisors is an integer number (2912).

2³⁸⁹¹⁶ is an apocalyptic number.

38916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52416).

38916 is an abundant number, since it is smaller than the sum of its proper divisors (65916).

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

38916 is a wasteful number, since it uses less digits than its factorization.

38916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 75 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 38916 is about 197.2713866733. The cubic root of 38916 is about 33.8877497701.

The spelling of 38916 in words is "thirty-eight thousand, nine hundred sixteen".