38221200 has 120 divisors (see below), whose sum is σ = 136077600. Its totient is φ = 10189440.

The previous prime is 38221187. The next prime is 38221207. The reversal of 38221200 is 212283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (38221207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9031 + ... + 12569.

It is an arithmetic number, because the mean of its divisors is an integer number (1133980).

Almost surely, 2^38221200 is an apocalyptic number.

38221200 is a gapful number since it is divisible by the number (30) 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 38221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68038800).

38221200 is an abundant number, since it is smaller than the sum of its proper divisors (97856400).

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

38221200 is a wasteful number, since it uses less digits than its factorization.

38221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 38221200 is about 6182.3296579849. The cubic root of 38221200 is about 336.8486201796.

Adding to 38221200 its reverse (212283), we get a palindrome (38433483).

The spelling of 38221200 in words is "thirty-eight million, two hundred twenty-one thousand, two hundred".