38896 has 40 divisors (see below), whose sum is σ = 93744. Its totient is φ = 15360.

The previous prime is 38891. The next prime is 38903. The reversal of 38896 is 69883.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2280 + ... + 2296.

2³⁸⁸⁹⁶ 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 38896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872).

38896 is an abundant number, since it is smaller than the sum of its proper divisors (54848).

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

38896 is a wasteful number, since it uses less digits than its factorization.

38896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 43 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 38896 is about 197.2206885699. The cubic root of 38896 is about 33.8819434939.

It can be divided in two parts, 388 and 96, that added together give a palindrome (484).

The spelling of 38896 in words is "thirty-eight thousand, eight hundred ninety-six".