3887848353312 has 384 divisors, whose sum is σ = 14466423121920. Its totient is φ = 986345579520.

The previous prime is 3887848353283. The next prime is 3887848353349. The reversal of 3887848353312 is 2133538487883.

3887848353312 is a `hidden beast` number, since 3 + 8 + 8 + 7 + 8 + 4 + 83 + 533 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3887848353312.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2181178 + ... + 3540230.

It is an arithmetic number, because the mean of its divisors is an integer number (37672976880).

Almost surely, 2^{3887848353312} is an apocalyptic number.

3887848353312 is a gapful number since it is divisible by the number (32) 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 3887848353312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7233211560960).

3887848353312 is an abundant number, since it is smaller than the sum of its proper divisors (10578574768608).

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

3887848353312 is a wasteful number, since it uses less digits than its factorization.

3887848353312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359133 (or 1359119 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 3887848353312 in words is "three trillion, eight hundred eighty-seven billion, eight hundred forty-eight million, three hundred fifty-three thousand, three hundred twelve".