38048256 has 120 divisors (see below), whose sum is σ = 114903360. Its totient is φ = 12097536.

The previous prime is 38048221. The next prime is 38048267. The reversal of 38048256 is 65284083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 38048256.

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, 105805 + ... + 106163.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 2^38048256 is an apocalyptic number.

38048256 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 38048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680).

38048256 is an abundant number, since it is smaller than the sum of its proper divisors (76855104).

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

38048256 is a wasteful number, since it uses less digits than its factorization.

38048256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 38048256 is about 6168.3268395895. The cubic root of 38048256 is about 336.3397923112.

The spelling of 38048256 in words is "thirty-eight million, forty-eight thousand, two hundred fifty-six".