38294208 has 140 divisors (see below), whose sum is σ = 116174520. Its totient is φ = 12469248.

The previous prime is 38294203. The next prime is 38294213. The reversal of 38294208 is 80249283.

It is an interprime number because it is at equal distance from previous prime (38294203) and next prime (38294213).

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 (38294203) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 430228 + ... + 430316.

It is an arithmetic number, because the mean of its divisors is an integer number (829818).

Almost surely, 2^38294208 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 38294208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58087260).

38294208 is an abundant number, since it is smaller than the sum of its proper divisors (77880312).

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

38294208 is an equidigital number, since it uses as much as digits as its factorization.

38294208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38294208 is about 6188.2314113162. The cubic root of 38294208 is about 337.0629602331.

The spelling of 38294208 in words is "thirty-eight million, two hundred ninety-four thousand, two hundred eight".