38201256 has 48 divisors (see below), whose sum is σ = 105019200. Its totient is φ = 12542112.

The previous prime is 38201237. The next prime is 38201257. The reversal of 38201256 is 65210283.

38201256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (38201257) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 865 + ... + 8783.

It is an arithmetic number, because the mean of its divisors is an integer number (2187900).

Almost surely, 2^38201256 is an apocalyptic number.

38201256 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 38201256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52509600).

38201256 is an abundant number, since it is smaller than the sum of its proper divisors (66817944).

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

38201256 is a wasteful number, since it uses less digits than its factorization.

38201256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7998 (or 7991 counting only the distinct ones).

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

The square root of 38201256 is about 6180.7164633236. The cubic root of 38201256 is about 336.7900202601.

The spelling of 38201256 in words is "thirty-eight million, two hundred one thousand, two hundred fifty-six".