38912 has 24 divisors (see below), whose sum is σ = 81900. Its totient is φ = 18432.

The previous prime is 38903. The next prime is 38917. The reversal of 38912 is 21983.

It is a nialpdrome in base 16.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2039 + ... + 2057.

38912 is a Friedman number, since it can be written as 38*2^(9+1), using all its digits and the basic arithmetic operations.

2^{38912} is an apocalyptic number.

38912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40950).

38912 is an abundant number, since it is smaller than the sum of its proper divisors (42988).

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

38912 is an equidigital number, since it uses as much as digits as its factorization.

38912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 21 counting only the distinct ones).

The product of its digits is 432, while the sum is 23.

The square root of 38912 is about 197.2612480950. The cubic root of 38912 is about 33.8865886740.

The spelling of 38912 in words is "thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2048 2432 4864 9728 19456 38912

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