39488 has 14 divisors (see below), whose sum is σ = 78486. Its totient is φ = 19712.

The previous prime is 39461. The next prime is 39499. The reversal of 39488 is 88493.

It can be written as a sum of positive squares in only one way, i.e., 23104 + 16384 = 152^2 + 128^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 245 + ... + 372.

2³⁹⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

39488 is a deficient number, since it is larger than the sum of its proper divisors (38998).

39488 is an equidigital number, since it uses as much as digits as its factorization.

39488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 619 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 39488 is about 198.7158775740. The cubic root of 39488 is about 34.0529739374.

The spelling of 39488 in words is "thirty-nine thousand, four hundred eighty-eight".