38760 has 64 divisors (see below), whose sum is σ = 129600. Its totient is φ = 9216.

The previous prime is 38749. The next prime is 38767. The reversal of 38760 is 6783.

38760 = T₈₃ + T₈₄ + ... + T₉₂.

38760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

38760 is a nontrivial binomial coefficient, being equal to C(20, 6).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 38760.

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 38760.

It is not an unprimeable number, because it can be changed into a prime (38767) by changing a digit.

38760 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, 2031 + ... + 2049.

It is an arithmetic number, because the mean of its divisors is an integer number (2025).

2³⁸⁷⁶⁰ is an apocalyptic number.

38760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38760 is the 114-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800).

38760 is an abundant number, since it is smaller than the sum of its proper divisors (90840).

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

38760 is a wasteful number, since it uses less digits than its factorization.

38760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 38760 is about 196.8755952372. The cubic root of 38760 is about 33.8424079347.

It can be divided in two parts, 387 and 60, that multiplied together give a triangular number (23220 = T₂₁₅).

The spelling of 38760 in words is "thirty-eight thousand, seven hundred sixty".