38366208 has 132 divisors (see below), whose sum is σ = 116236848. Its totient is φ = 12165120.

The previous prime is 38366203. The next prime is 38366213. The reversal of 38366208 is 80266383.

It is an interprime number because it is at equal distance from previous prime (38366203) and next prime (38366213).

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

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (38366203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211878 + ... + 212058.

Almost surely, 2^38366208 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 38366208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58118424).

38366208 is an abundant number, since it is smaller than the sum of its proper divisors (77870640).

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

38366208 is a wasteful number, since it uses less digits than its factorization.

38366208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 38366208 is about 6194.0461735444. The cubic root of 38366208 is about 337.2740743114.

The spelling of 38366208 in words is "thirty-eight million, three hundred sixty-six thousand, two hundred eight".