38305008 has 160 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 10692864.

The previous prime is 38304991. The next prime is 38305013. The reversal of 38305008 is 80050383.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160153 + ... + 160391.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 2^38305008 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 38305008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

38305008 is an abundant number, since it is smaller than the sum of its proper divisors (90258192).

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

38305008 is a wasteful number, since it uses less digits than its factorization.

38305008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

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

The square root of 38305008 is about 6189.1039739206. The cubic root of 38305008 is about 337.0946442048.

The spelling of 38305008 in words is "thirty-eight million, three hundred five thousand, eight".