38484 has 18 divisors (see below), whose sum is σ = 97370. Its totient is φ = 12816.

The previous prime is 38461. The next prime is 38501. The reversal of 38484 is 48483.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 6084 = 180^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

38484 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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 499 + ... + 570.

2³⁸⁴⁸⁴ is an apocalyptic number.

It is an amenable number.

38484 is an abundant number, since it is smaller than the sum of its proper divisors (58886).

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

38484 is a wasteful number, since it uses less digits than its factorization.

38484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1074 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 38484 is about 196.1733926913. The cubic root of 38484 is about 33.7618888157.

Subtracting 38484 from its reverse (48483), we obtain a palindrome (9999).

It can be divided in two parts, 3 and 8484, that multiplied together give a palindrome (25452).

The spelling of 38484 in words is "thirty-eight thousand, four hundred eighty-four".