38016 has 64 divisors (see below), whose sum is σ = 122400. Its totient is φ = 11520.

The previous prime is 38011. The next prime is 38039. The reversal of 38016 is 61083.

38016 = 13³ + 14³ + ... + 20³.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 38016.

It is not an unprimeable number, because it can be changed into a prime (38011) by changing a digit.

38016 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, 3451 + ... + 3461.

2³⁸⁰¹⁶ is an apocalyptic number.

38016 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 38016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61200).

38016 is an abundant number, since it is smaller than the sum of its proper divisors (84384).

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

38016 is a wasteful number, since it uses less digits than its factorization.

38016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 38016 is about 194.9769217113. The cubic root of 38016 is about 33.6244719679.

38016 divided by its sum of digits (18) gives a palindrome (2112).

Adding to 38016 its reverse (61083), we get a palindrome (99099).

The spelling of 38016 in words is "thirty-eight thousand, sixteen".