38784 has 32 divisors (see below), whose sum is σ = 104040. Its totient is φ = 12800.

The previous prime is 38783. The next prime is 38791. The reversal of 38784 is 48783.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38783) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 334 + ... + 434.

2³⁸⁷⁸⁴ 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 38784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52020).

38784 is an abundant number, since it is smaller than the sum of its proper divisors (65256).

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

38784 is a wasteful number, since it uses less digits than its factorization.

38784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 38784 is about 196.9365380015. The cubic root of 38784 is about 33.8493915106.

Subtracting 38784 from its reverse (48783), we obtain a palindrome (9999).

It can be divided in two parts, 38 and 784, that multiplied together give a palindrome (29792).

The spelling of 38784 in words is "thirty-eight thousand, seven hundred eighty-four".