38460 has 24 divisors (see below), whose sum is σ = 107856. Its totient is φ = 10240.

The previous prime is 38459. The next prime is 38461. The reversal of 38460 is 6483.

38460 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38459) and next prime (38461).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38460.

It is not an unprimeable number, because it can be changed into a prime (38461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261 + ... + 380.

It is an arithmetic number, because the mean of its divisors is an integer number (4494).

2³⁸⁴⁶⁰ is an apocalyptic number.

38460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38460 is an abundant number, since it is smaller than the sum of its proper divisors (69396).

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 (53928).

38460 is a wasteful number, since it uses less digits than its factorization.

38460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 38460 is about 196.1122127763. The cubic root of 38460 is about 33.7548689820.

It can be divided in two parts, 384 and 60, that added together give a palindrome (444).

The spelling of 38460 in words is "thirty-eight thousand, four hundred sixty".