38220 has 72 divisors (see below), whose sum is σ = 134064. Its totient is φ = 8064.

The previous prime is 38219. The next prime is 38231. The reversal of 38220 is 2283.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 38220.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38220.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 2934 + ... + 2946.

It is an arithmetic number, because the mean of its divisors is an integer number (1862).

2³⁸²²⁰ is an apocalyptic number.

38220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 195×196.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67032).

38220 is an abundant number, since it is smaller than the sum of its proper divisors (95844).

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

38220 is a wasteful number, since it uses less digits than its factorization.

38220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 38220 is about 195.4993606128. The cubic root of 38220 is about 33.6845094888.

Subtracting from 38220 its reverse (2283), we obtain a cube (35937 = 33³).

The spelling of 38220 in words is "thirty-eight thousand, two hundred twenty".