38120 has 16 divisors (see below), whose sum is σ = 85860. Its totient is φ = 15232.

The previous prime is 38119. The next prime is 38149. The reversal of 38120 is 2183.

It can be written as a sum of positive squares in 2 ways, for example, as 37636 + 484 = 194^2 + 22^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38095 and 38104.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38120.

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 3 ways as a sum of consecutive naturals, for example, 437 + ... + 516.

2³⁸¹²⁰ is an apocalyptic number.

It is an amenable number.

38120 is an abundant number, since it is smaller than the sum of its proper divisors (47740).

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 (42930).

38120 is a wasteful number, since it uses less digits than its factorization.

38120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 38120 is about 195.2434377899. The cubic root of 38120 is about 33.6551060962.

Subtracting from 38120 its reverse (2183), we obtain a cube (35937 = 33³).

It can be divided in two parts, 38 and 120, that multiplied together give a triangular number (4560 = T₉₅).

The spelling of 38120 in words is "thirty-eight thousand, one hundred twenty".