38386656 has 192 divisors, whose sum is σ = 139829760. Its totient is φ = 9953280.

The previous prime is 38386637. The next prime is 38386687. The reversal of 38386656 is 65668383.

38386656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66240 + ... + 66816.

It is an arithmetic number, because the mean of its divisors is an integer number (728280).

Almost surely, 2^38386656 is an apocalyptic number.

38386656 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 38386656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69914880).

38386656 is an abundant number, since it is smaller than the sum of its proper divisors (101443104).

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

38386656 is a wasteful number, since it uses less digits than its factorization.

38386656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 600 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 38386656 is about 6195.6965710080. The cubic root of 38386656 is about 337.3339825463. Note that the first 3 decimals are identical.

The spelling of 38386656 in words is "thirty-eight million, three hundred eighty-six thousand, six hundred fifty-six".