38988 has 36 divisors (see below), whose sum is σ = 106680. Its totient is φ = 12312.

The previous prime is 38977. The next prime is 38993. The reversal of 38988 is 88983.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (13824) is a multiple of the sum of its prime divisors (24).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2043 + ... + 2061.

2³⁸⁹⁸⁸ is an apocalyptic number.

38988 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53340).

38988 is an abundant number, since it is smaller than the sum of its proper divisors (67692).

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

38988 is a wasteful number, since it uses less digits than its factorization.

38988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 24 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 38988 is about 197.4537920629. The cubic root of 38988 is about 33.9086359078.

The spelling of 38988 in words is "thirty-eight thousand, nine hundred eighty-eight".