38730 has 16 divisors (see below), whose sum is σ = 93024. Its totient is φ = 10320.

The previous prime is 38729. The next prime is 38737. The reversal of 38730 is 3783.

38730 = 86² + 87² + ... + 90².

38730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 38697 and 38706.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38730.

It is not an unprimeable number, because it can be changed into a prime (38737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 616 + ... + 675.

It is an arithmetic number, because the mean of its divisors is an integer number (5814).

2³⁸⁷³⁰ is an apocalyptic number.

38730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38730 is an abundant number, since it is smaller than the sum of its proper divisors (54294).

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 (46512).

38730 is a wasteful number, since it uses less digits than its factorization.

38730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 38730 is about 196.7993902430. The cubic root of 38730 is about 33.8336744096.

Subtracting from 38730 its product of nonzero digits (504), we obtain a triangular number (38226 = T₂₇₆).

The spelling of 38730 in words is "thirty-eight thousand, seven hundred thirty".