38227200 has 216 divisors, whose sum is σ = 138386976. Its totient is φ = 9216000.

The previous prime is 38227177. The next prime is 38227207. The reversal of 38227200 is 272283.

It is a super-2 number, since 2×38227200² = 2922637639680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38227207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211110 + ... + 211290.

Almost surely, 2^38227200 is an apocalyptic number.

38227200 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 38227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69193488).

38227200 is an abundant number, since it is smaller than the sum of its proper divisors (100159776).

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

38227200 is a wasteful number, since it uses less digits than its factorization.

38227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 38227200 is about 6182.8148929108. The cubic root of 38227200 is about 336.8662455287.

Adding to 38227200 its reverse (272283), we get a palindrome (38499483).

The spelling of 38227200 in words is "thirty-eight million, two hundred twenty-seven thousand, two hundred".