38976 has 56 divisors (see below), whose sum is σ = 121920. Its totient is φ = 10752.

The previous prime is 38971. The next prime is 38977. The reversal of 38976 is 67983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 16.

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 38976.

It is not an unprimeable number, because it can be changed into a prime (38971) by changing a digit.

38976 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, 1330 + ... + 1358.

2³⁸⁹⁷⁶ 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 38976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60960).

38976 is an abundant number, since it is smaller than the sum of its proper divisors (82944).

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

38976 is a wasteful number, since it uses less digits than its factorization.

38976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 41 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 38976 is about 197.4234028680. The cubic root of 38976 is about 33.9051566715.

It can be divided in two parts, 389 and 76, that added together give a triangular number (465 = T₃₀).

The spelling of 38976 in words is "thirty-eight thousand, nine hundred seventy-six".