38116008 has 96 divisors (see below), whose sum is σ = 122391360. Its totient is φ = 10886400.

The previous prime is 38115997. The next prime is 38116027. The reversal of 38116008 is 80061183.

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

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 23 ways as a sum of consecutive naturals, for example, 12208 + ... + 15008.

It is an arithmetic number, because the mean of its divisors is an integer number (1274910).

Almost surely, 2^38116008 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 38116008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61195680).

38116008 is an abundant number, since it is smaller than the sum of its proper divisors (84275352).

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

38116008 is a wasteful number, since it uses less digits than its factorization.

38116008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 38116008 is about 6173.8163237984. The cubic root of 38116008 is about 336.5393124597.

The spelling of 38116008 in words is "thirty-eight million, one hundred sixteen thousand, eight".