3988448640 has 256 divisors, whose sum is σ = 15410649600. Its totient is φ = 966850560.

The previous prime is 3988448609. The next prime is 3988448657. The reversal of 3988448640 is 468448893.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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, 179589 + ... + 200571.

It is an arithmetic number, because the mean of its divisors is an integer number (60197850).

Almost surely, 2^3988448640 is an apocalyptic number.

3988448640 is a gapful number since it is divisible by the number (30) 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 3988448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705324800).

3988448640 is an abundant number, since it is smaller than the sum of its proper divisors (11422200960).

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

3988448640 is a wasteful number, since it uses less digits than its factorization.

3988448640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21022 (or 21004 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 3988448640 is about 63154.1656583317. The cubic root of 3988448640 is about 1585.8715252612.

The spelling of 3988448640 in words is "three billion, nine hundred eighty-eight million, four hundred forty-eight thousand, six hundred forty".