38946 has 8 divisors (see below), whose sum is σ = 77904. Its totient is φ = 12980.

The previous prime is 38933. The next prime is 38953. The reversal of 38946 is 64983.

It is a sphenic number, since it is the product of 3 distinct primes.

38946 is an admirable number.

It is a Curzon number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3240 + ... + 3251.

It is an arithmetic number, because the mean of its divisors is an integer number (9738).

2³⁸⁹⁴⁶ is an apocalyptic number.

38946 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (38952).

38946 is a wasteful number, since it uses less digits than its factorization.

38946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6496.

The product of its digits is 5184, while the sum is 30.

The square root of 38946 is about 197.3474094079. The cubic root of 38946 is about 33.8964554556.

It can be divided in two parts, 389 and 46, that added together give a triangular number (435 = T₂₉).

The spelling of 38946 in words is "thirty-eight thousand, nine hundred forty-six".