3848577283584 has 1280 divisors, whose sum is σ = 13675974681600. Its totient is φ = 1055843942400.

The previous prime is 3848577283541. The next prime is 3848577283643. The reversal of 3848577283584 is 4853827758483.

3848577283584 is a `hidden beast` number, since 3 + 8 + 48 + 577 + 2 + 8 + 3 + 5 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6278266062 + ... + 6278266674.

It is an arithmetic number, because the mean of its divisors is an integer number (10684355220).

Almost surely, 2^{3848577283584} 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 3848577283584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6837987340800).

3848577283584 is an abundant number, since it is smaller than the sum of its proper divisors (9827397398016).

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

3848577283584 is a wasteful number, since it uses less digits than its factorization.

3848577283584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 742 counting only the distinct ones).

The product of its digits is 1445068800, while the sum is 72.

The spelling of 3848577283584 in words is "three trillion, eight hundred forty-eight billion, five hundred seventy-seven million, two hundred eighty-three thousand, five hundred eighty-four".