4038563984 has 80 divisors (see below), whose sum is σ = 9648132480. Its totient is φ = 1594736640.

The previous prime is 4038563941. The next prime is 4038563989. The reversal of 4038563984 is 4893658304.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4038563989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 899024 + ... + 903504.

It is an arithmetic number, because the mean of its divisors is an integer number (120601656).

Almost surely, 2^4038563984 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 4038563984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4824066240).

4038563984 is an abundant number, since it is smaller than the sum of its proper divisors (5609568496).

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

4038563984 is a wasteful number, since it uses less digits than its factorization.

4038563984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The square root of 4038563984 is about 63549.6969622987. The cubic root of 4038563984 is about 1592.4861208329.

The spelling of 4038563984 in words is "four billion, thirty-eight million, five hundred sixty-three thousand, nine hundred eighty-four".