38321664 has 80 divisors (see below), whose sum is σ = 104018640. Its totient is φ = 12533760.

The previous prime is 38321663. The next prime is 38321669. The reversal of 38321664 is 46612383.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38321663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93492 + ... + 93900.

It is an arithmetic number, because the mean of its divisors is an integer number (1300233).

Almost surely, 2^38321664 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 38321664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52009320).

38321664 is an abundant number, since it is smaller than the sum of its proper divisors (65696976).

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

38321664 is an equidigital number, since it uses as much as digits as its factorization.

38321664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 475 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 38321664 is about 6190.4494182571. The cubic root of 38321664 is about 337.1434962574.

The spelling of 38321664 in words is "thirty-eight million, three hundred twenty-one thousand, six hundred sixty-four".