38221664 has 48 divisors (see below), whose sum is σ = 81743760. Its totient is φ = 17487360.

The previous prime is 38221663. The next prime is 38221679. The reversal of 38221664 is 46612283.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 38221664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38221663) 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, 57494 + ... + 58154.

It is an arithmetic number, because the mean of its divisors is an integer number (1702995).

Almost surely, 2^38221664 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 38221664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40871880).

38221664 is an abundant number, since it is smaller than the sum of its proper divisors (43522096).

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

38221664 is a wasteful number, since it uses less digits than its factorization.

38221664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 815 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 38221664 is about 6182.3671841779. The cubic root of 38221664 is about 336.8499832724.

The spelling of 38221664 in words is "thirty-eight million, two hundred twenty-one thousand, six hundred sixty-four".