38646 has 24 divisors (see below), whose sum is σ = 88920. Its totient is φ = 12096.

The previous prime is 38639. The next prime is 38651. The reversal of 38646 is 64683.

38646 is an undulating number in base 15.

It is a plaindrome in base 8 and base 13.

It is a zygodrome in base 8.

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 38646.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286 + ... + 398.

It is an arithmetic number, because the mean of its divisors is an integer number (3705).

2³⁸⁶⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44460).

38646 is an abundant number, since it is smaller than the sum of its proper divisors (50274).

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

38646 is a wasteful number, since it uses less digits than its factorization.

38646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 137 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 38646 is about 196.5858591049. The cubic root of 38646 is about 33.8091965218.

It can be divided in two parts, 3 and 8646, that added together give a square (8649 = 93²).

The spelling of 38646 in words is "thirty-eight thousand, six hundred forty-six".