38284008 has 64 divisors (see below), whose sum is σ = 112926720. Its totient is φ = 10584000.

The previous prime is 38284007. The next prime is 38284019. The reversal of 38284008 is 80048283.

It is a self number, because there is not a number n which added to its sum of digits gives 38284008.

It is not an unprimeable number, because it can be changed into a prime (38284003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1533 + ... + 8883.

It is an arithmetic number, because the mean of its divisors is an integer number (1764480).

Almost surely, 2^38284008 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 38284008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56463360).

38284008 is an abundant number, since it is smaller than the sum of its proper divisors (74642712).

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

38284008 is a wasteful number, since it uses less digits than its factorization.

38284008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7398 (or 7394 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 38284008 is about 6187.4072114255. The cubic root of 38284008 is about 337.0330310117.

The spelling of 38284008 in words is "thirty-eight million, two hundred eighty-four thousand, eight".