38456208 has 160 divisors (see below), whose sum is σ = 128523520. Its totient is φ = 10917504.

The previous prime is 38456203. The next prime is 38456219. The reversal of 38456208 is 80265483.

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

It is not an unprimeable number, because it can be changed into a prime (38456203) 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 31 ways as a sum of consecutive naturals, for example, 244866 + ... + 245022.

It is an arithmetic number, because the mean of its divisors is an integer number (803272).

Almost surely, 2^38456208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38456208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64261760).

38456208 is an abundant number, since it is smaller than the sum of its proper divisors (90067312).

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

38456208 is an equidigital number, since it uses as much as digits as its factorization.

38456208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

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

The square root of 38456208 is about 6201.3069590208. The cubic root of 38456208 is about 337.5375958119.

The spelling of 38456208 in words is "thirty-eight million, four hundred fifty-six thousand, two hundred eight".