38289664 has 72 divisors (see below), whose sum is σ = 91244160. Its totient is φ = 15679488.

The previous prime is 38289583. The next prime is 38289677. The reversal of 38289664 is 46698283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 40752 + ... + 41680.

It is an arithmetic number, because the mean of its divisors is an integer number (1267280).

Almost surely, 2^38289664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45622080).

38289664 is an abundant number, since it is smaller than the sum of its proper divisors (52954496).

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

38289664 is an equidigital number, since it uses as much as digits as its factorization.

38289664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 961 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The square root of 38289664 is about 6187.8642519047. The cubic root of 38289664 is about 337.0496277149.

The spelling of 38289664 in words is "thirty-eight million, two hundred eighty-nine thousand, six hundred sixty-four".