38475 has 30 divisors (see below), whose sum is σ = 75020. Its totient is φ = 19440.

The previous prime is 38461. The next prime is 38501. The reversal of 38475 is 57483.

38475 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38475 - 2⁴ = 38459 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2016 + ... + 2034.

2³⁸⁴⁷⁵ is an apocalyptic number.

38475 is a deficient number, since it is larger than the sum of its proper divisors (36545).

38475 is a wasteful number, since it uses less digits than its factorization.

38475 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 27 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 38475 is about 196.1504524593. The cubic root of 38475 is about 33.7592567202.

It can be divided in two parts, 3 and 8475, that multiplied together give a triangular number (25425 = T₂₂₅).

The spelling of 38475 in words is "thirty-eight thousand, four hundred seventy-five".