39788 has 24 divisors (see below), whose sum is σ = 84000. Its totient is φ = 16464.

The previous prime is 39779. The next prime is 39791. The reversal of 39788 is 88793.

Its product of digits (12096) is a multiple of the sum of its prime factors (54).

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, 1358 + ... + 1386.

It is an arithmetic number, because the mean of its divisors is an integer number (3500).

2³⁹⁷⁸⁸ 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 39788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42000).

39788 is an abundant number, since it is smaller than the sum of its proper divisors (44212).

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

39788 is a wasteful number, since it uses less digits than its factorization.

39788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 38 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 39788 is about 199.4692958829. The cubic root of 39788 is about 34.1389927275.

The spelling of 39788 in words is "thirty-nine thousand, seven hundred eighty-eight".