38221056 has 108 divisors (see below), whose sum is σ = 112638708. Its totient is φ = 12460032.

The previous prime is 38221039. The next prime is 38221067. The reversal of 38221056 is 65012283.

It can be written as a sum of positive squares in 2 ways, for example, as 10342656 + 27878400 = 3216^2 + 5280^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121956 + ... + 122268.

It is an arithmetic number, because the mean of its divisors is an integer number (1042951).

Almost surely, 2^38221056 is an apocalyptic number.

38221056 is a gapful number since it is divisible by the number (36) 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 38221056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56319354).

38221056 is an abundant number, since it is smaller than the sum of its proper divisors (74417652).

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

38221056 is a wasteful number, since it uses less digits than its factorization.

38221056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38221056 is about 6182.3180118787. The cubic root of 38221056 is about 336.8481971486.

The spelling of 38221056 in words is "thirty-eight million, two hundred twenty-one thousand, fifty-six".