3888845468928 has 864 divisors, whose sum is σ = 14102257827840. Its totient is φ = 1044049305600.

The previous prime is 3888845468891. The next prime is 3888845468971. The reversal of 3888845468928 is 8298645488883.

3888845468928 is a `hidden beast` number, since 3 + 8 + 8 + 88 + 454 + 6 + 89 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1050753478 + ... + 1050757178.

Almost surely, 2^{3888845468928} is an apocalyptic number.

3888845468928 is a gapful number since it is divisible by the number (38) 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 3888845468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7051128913920).

3888845468928 is an abundant number, since it is smaller than the sum of its proper divisors (10213412358912).

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

3888845468928 is a wasteful number, since it uses less digits than its factorization.

3888845468928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3859 counting only the distinct ones).

The product of its digits is 6794772480, while the sum is 81.

The spelling of 3888845468928 in words is "three trillion, eight hundred eighty-eight billion, eight hundred forty-five million, four hundred sixty-eight thousand, nine hundred twenty-eight".