38108320 has 96 divisors (see below), whose sum is σ = 95800320. Its totient is φ = 14300160.

The previous prime is 38108303. The next prime is 38108333. The reversal of 38108320 is 2380183.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 199425 + ... + 199615.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 2^38108320 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 38108320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47900160).

38108320 is an abundant number, since it is smaller than the sum of its proper divisors (57692000).

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

38108320 is a wasteful number, since it uses less digits than its factorization.

38108320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 38108320 is about 6173.1936629268. The cubic root of 38108320 is about 336.5166842750.

The spelling of 38108320 in words is "thirty-eight million, one hundred eight thousand, three hundred twenty".