38076 has 24 divisors (see below), whose sum is σ = 94080. Its totient is φ = 11952.

The previous prime is 38069. The next prime is 38083. The reversal of 38076 is 67083.

38076 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38069) and next prime (38083).

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 38076.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (3920).

2³⁸⁰⁷⁶ 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 38076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47040).

38076 is an abundant number, since it is smaller than the sum of its proper divisors (56004).

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

38076 is a wasteful number, since it uses less digits than its factorization.

38076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 38076 is about 195.1307254125. The cubic root of 38076 is about 33.6421523118.

The spelling of 38076 in words is "thirty-eight thousand, seventy-six".