38282220 has 72 divisors (see below), whose sum is σ = 120438864. Its totient is φ = 10207296.

The previous prime is 38282213. The next prime is 38282221. The reversal of 38282220 is 2228283.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (38282221) 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, 922 + ... + 8798.

It is an arithmetic number, because the mean of its divisors is an integer number (1672762).

Almost surely, 2^38282220 is an apocalyptic number.

38282220 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 38282220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60219432).

38282220 is an abundant number, since it is smaller than the sum of its proper divisors (82156644).

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

38282220 is a wasteful number, since it uses less digits than its factorization.

38282220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7901 (or 7887 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 38282220 is about 6187.2627227232. The cubic root of 38282220 is about 337.0277840477.

The spelling of 38282220 in words is "thirty-eight million, two hundred eighty-two thousand, two hundred twenty".