39408 has 20 divisors (see below), whose sum is σ = 101928. Its totient is φ = 13120.

The previous prime is 39397. The next prime is 39409. The reversal of 39408 is 80493.

39408 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39409) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 363 + ... + 458.

2³⁹⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

39408 is an abundant number, since it is smaller than the sum of its proper divisors (62520).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50964).

39408 is a wasteful number, since it uses less digits than its factorization.

39408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 39408 is about 198.5144830988. The cubic root of 39408 is about 34.0299620546.

It can be divided in two parts, 3 and 9408, that multiplied together give a square (28224 = 168²).

The spelling of 39408 in words is "thirty-nine thousand, four hundred eight".