38642220 has 72 divisors (see below), whose sum is σ = 118145664. Its totient is φ = 10222848.

The previous prime is 38642209. The next prime is 38642221. The reversal of 38642220 is 2224683.

It is not an unprimeable number, because it can be changed into a prime (38642221) 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, 23877 + ... + 25443.

It is an arithmetic number, because the mean of its divisors is an integer number (1640912).

Almost surely, 2^38642220 is an apocalyptic number.

38642220 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 38642220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59072832).

38642220 is an abundant number, since it is smaller than the sum of its proper divisors (79503444).

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

38642220 is a wasteful number, since it uses less digits than its factorization.

38642220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 38642220 is about 6216.2866729262. The cubic root of 38642220 is about 338.0809418326.

It can be divided in two parts, 3864 and 2220, that added together give a square (6084 = 78²).

The spelling of 38642220 in words is "thirty-eight million, six hundred forty-two thousand, two hundred twenty".