38464 has 14 divisors (see below), whose sum is σ = 76454. Its totient is φ = 19200.

The previous prime is 38461. The next prime is 38501. The reversal of 38464 is 46483.

It can be written as a sum of positive squares in only one way, i.e., 36864 + 1600 = 192^2 + 40^2 .

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (38461) by changing a digit.

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 as a sum of consecutive naturals, namely, 237 + ... + 364.

It is an arithmetic number, because the mean of its divisors is an integer number (5461).

2³⁸⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

38464 is a deficient number, since it is larger than the sum of its proper divisors (37990).

38464 is an equidigital number, since it uses as much as digits as its factorization.

38464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 603 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 38464 is about 196.1224107541. The cubic root of 38464 is about 33.7560391571.

The spelling of 38464 in words is "thirty-eight thousand, four hundred sixty-four".