3844681863984 has 160 divisors (see below), whose sum is σ = 11886599208960. Its totient is φ = 1182775848192.

The previous prime is 3844681863959. The next prime is 3844681864021. The reversal of 3844681863984 is 4893681864483.

3844681863984 is a `hidden beast` number, since 3 + 8 + 4 + 468 + 1 + 86 + 3 + 9 + 84 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34443367 + ... + 34554809.

It is an arithmetic number, because the mean of its divisors is an integer number (74291245056).

Almost surely, 2^{3844681863984} 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 3844681863984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943299604480).

3844681863984 is an abundant number, since it is smaller than the sum of its proper divisors (8041917344976).

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

3844681863984 is a wasteful number, since it uses less digits than its factorization.

3844681863984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117616 (or 117604 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 72.

The spelling of 3844681863984 in words is "three trillion, eight hundred forty-four billion, six hundred eighty-one million, eight hundred sixty-three thousand, nine hundred eighty-four".