4038242208 has 192 divisors, whose sum is σ = 14233024512. Its totient is φ = 968186880.

The previous prime is 4038242161. The next prime is 4038242231. The reversal of 4038242208 is 8022428304.

4038242208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 75085 + ... + 117107.

It is an arithmetic number, because the mean of its divisors is an integer number (74130336).

Almost surely, 2^4038242208 is an apocalyptic number.

4038242208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4038242208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7116512256).

4038242208 is an abundant number, since it is smaller than the sum of its proper divisors (10194782304).

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

4038242208 is a wasteful number, since it uses less digits than its factorization.

4038242208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42067 (or 42059 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 4038242208 is about 63547.1652239500. The cubic root of 4038242208 is about 1592.4438254836.

The spelling of 4038242208 in words is "four billion, thirty-eight million, two hundred forty-two thousand, two hundred eight".