4038228960 has 192 divisors, whose sum is σ = 13544423424. Its totient is φ = 1007820800.

The previous prime is 4038228941. The next prime is 4038228967. The reversal of 4038228960 is 698228304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4038228967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1557265 + ... + 1559855.

It is an arithmetic number, because the mean of its divisors is an integer number (70543872).

Almost surely, 2^4038228960 is an apocalyptic number.

4038228960 is a gapful number since it is divisible by the number (40) 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 4038228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6772211712).

4038228960 is an abundant number, since it is smaller than the sum of its proper divisors (9506194464).

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

4038228960 is a wasteful number, since it uses less digits than its factorization.

4038228960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4038228960 is about 63547.0609863273. The cubic root of 4038228960 is about 1592.4420840725.

The spelling of 4038228960 in words is "four billion, thirty-eight million, two hundred twenty-eight thousand, nine hundred sixty".