3845191844736 has 896 divisors, whose sum is σ = 13379390265600. Its totient is φ = 1087943270400.

The previous prime is 3845191844701. The next prime is 3845191844749. The reversal of 3845191844736 is 6374481915483.

3845191844736 is a `hidden beast` number, since 3 + 8 + 4 + 519 + 1 + 8 + 44 + 73 + 6 = 666.

3845191844736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×3845191844736⁴ (a number of 51 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1384655380 + ... + 1384658156.

Almost surely, 2^{3845191844736} is an apocalyptic number.

3845191844736 is a gapful number since it is divisible by the number (36) 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 3845191844736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689695132800).

3845191844736 is an abundant number, since it is smaller than the sum of its proper divisors (9534198420864).

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

3845191844736 is a wasteful number, since it uses less digits than its factorization.

3845191844736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2883 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 3845191844736 in words is "three trillion, eight hundred forty-five billion, one hundred ninety-one million, eight hundred forty-four thousand, seven hundred thirty-six".