38676 has 24 divisors (see below), whose sum is σ = 98784. Its totient is φ = 11680.

The previous prime is 38671. The next prime is 38677. The reversal of 38676 is 67683.

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 38676.

It is not an unprimeable number, because it can be changed into a prime (38671) by changing a digit.

38676 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15 + ... + 278.

It is an arithmetic number, because the mean of its divisors is an integer number (4116).

2³⁸⁶⁷⁶ 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 38676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49392).

38676 is an abundant number, since it is smaller than the sum of its proper divisors (60108).

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

38676 is a wasteful number, since it uses less digits than its factorization.

38676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 38676 is about 196.6621468407. The cubic root of 38676 is about 33.8179426927.

The spelling of 38676 in words is "thirty-eight thousand, six hundred seventy-six".