3848128204800 has 1248 divisors, whose sum is σ = 14440978861056. Its totient is φ = 895942656000.

The previous prime is 3848128204793. The next prime is 3848128204831. The reversal of 3848128204800 is 84028218483.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3848128204800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10316697414 + ... + 10316697786.

Almost surely, 2^{3848128204800} is an apocalyptic number.

3848128204800 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 3848128204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7220489430528).

3848128204800 is an abundant number, since it is smaller than the sum of its proper divisors (10592850656256).

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

3848128204800 is a wasteful number, since it uses less digits than its factorization.

3848128204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The spelling of 3848128204800 in words is "three trillion, eight hundred forty-eight billion, one hundred twenty-eight million, two hundred four thousand, eight hundred".