38010 has 32 divisors (see below), whose sum is σ = 104832. Its totient is φ = 8640.

The previous prime is 37997. The next prime is 38011. The reversal of 38010 is 1083.

38010 = T₂₈ + T₂₉ + ... + T₆₂.

38010 = 4² + 5² + ... + 48².

38010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38010.

It is not an unprimeable number, because it can be changed into a prime (38011) by changing a digit.

38010 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120 + ... + 300.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

2³⁸⁰¹⁰ is an apocalyptic number.

38010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52416).

38010 is an abundant number, since it is smaller than the sum of its proper divisors (66822).

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

38010 is a wasteful number, since it uses less digits than its factorization.

38010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 38010 is about 194.9615346677. The cubic root of 38010 is about 33.6227029106.

Adding to 38010 its reverse (1083), we get a palindrome (39093).

The spelling of 38010 in words is "thirty-eight thousand, ten".