38340 has 48 divisors (see below), whose sum is σ = 120960. Its totient is φ = 10080.

The previous prime is 38333. The next prime is 38351. The reversal of 38340 is 4383.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is an unprimeable number.

38340 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 15 ways as a sum of consecutive naturals, for example, 505 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2³⁸³⁴⁰ is an apocalyptic number.

38340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

38340 is an abundant number, since it is smaller than the sum of its proper divisors (82620).

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

38340 is a wasteful number, since it uses less digits than its factorization.

38340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 38340 is about 195.8060264650. The cubic root of 38340 is about 33.7197259384.

It can be divided in two parts, 38 and 340, that added together give a triangular number (378 = T₂₇).

The spelling of 38340 in words is "thirty-eight thousand, three hundred forty".