38634 has 16 divisors (see below), whose sum is σ = 79488. Its totient is φ = 12512.

The previous prime is 38629. The next prime is 38639. The reversal of 38634 is 43683.

It is an interprime number because it is at equal distance from previous prime (38629) and next prime (38639).

It is a Curzon number.

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38634.

It is not an unprimeable number, because it can be changed into a prime (38639) 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, 214 + ... + 350.

It is an arithmetic number, because the mean of its divisors is an integer number (4968).

2³⁸⁶³⁴ is an apocalyptic number.

38634 is an abundant number, since it is smaller than the sum of its proper divisors (40854).

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 (39744).

38634 is a wasteful number, since it uses less digits than its factorization.

38634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189.

The product of its digits is 1728, while the sum is 24.

The square root of 38634 is about 196.5553357200. Note that the first 3 decimals coincide. The cubic root of 38634 is about 33.8056967861.

The spelling of 38634 in words is "thirty-eight thousand, six hundred thirty-four".