38408 has 8 divisors (see below), whose sum is σ = 72030. Its totient is φ = 19200.

The previous prime is 38393. The next prime is 38431. The reversal of 38408 is 80483.

It can be written as a sum of positive squares in only one way, i.e., 31684 + 6724 = 178^2 + 82^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 14.

It is an unprimeable number.

38408 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 2393 + ... + 2408.

2³⁸⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

38408 is a deficient number, since it is larger than the sum of its proper divisors (33622).

38408 is a wasteful number, since it uses less digits than its factorization.

38408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4807 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 38408 is about 195.9795907741. The cubic root of 38408 is about 33.7396493179.

The spelling of 38408 in words is "thirty-eight thousand, four hundred eight".