38242008 has 96 divisors (see below), whose sum is σ = 123552000. Its totient is φ = 10448064.

The previous prime is 38241997. The next prime is 38242019. The reversal of 38242008 is 80024283.

It is an interprime number because it is at equal distance from previous prime (38241997) and next prime (38242019).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9943 + ... + 13241.

It is an arithmetic number, because the mean of its divisors is an integer number (1287000).

Almost surely, 2^38242008 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 38242008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61776000).

38242008 is an abundant number, since it is smaller than the sum of its proper divisors (85309992).

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

38242008 is a wasteful number, since it uses less digits than its factorization.

38242008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 38242008 is about 6184.0122897679. The cubic root of 38242008 is about 336.9097369990.

It can be divided in two parts, 3824 and 2008, that added together give a cube (5832 = 18³).

The spelling of 38242008 in words is "thirty-eight million, two hundred forty-two thousand, eight".