38402 has 16 divisors (see below), whose sum is σ = 71232. Its totient is φ = 15120.

The previous prime is 38393. The next prime is 38431. The reversal of 38402 is 20483.

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nialpdrome in base 14.

It is an unprimeable number.

38402 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 in 7 ways as a sum of consecutive naturals, for example, 77 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (4452).

2³⁸⁴⁰² is an apocalyptic number.

38402 is a deficient number, since it is larger than the sum of its proper divisors (32830).

38402 is a wasteful number, since it uses less digits than its factorization.

38402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 38402 is about 195.9642824598. The cubic root of 38402 is about 33.7378923190.

Adding to 38402 its reverse (20483), we get a palindrome (58885).

The spelling of 38402 in words is "thirty-eight thousand, four hundred two".