38490 has 16 divisors (see below), whose sum is σ = 92448. Its totient is φ = 10256.

The previous prime is 38461. The next prime is 38501. The reversal of 38490 is 9483.

38490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 38490.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38490.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 612 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (5778).

2³⁸⁴⁹⁰ is an apocalyptic number.

38490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38490 is an abundant number, since it is smaller than the sum of its proper divisors (53958).

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 (46224).

38490 is a wasteful number, since it uses less digits than its factorization.

38490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293.

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

The square root of 38490 is about 196.1886846890. The cubic root of 38490 is about 33.7636433180.

It can be divided in two parts, 384 and 90, that added together give a palindrome (474).

The spelling of 38490 in words is "thirty-eight thousand, four hundred ninety".