3981095500800 has 528 divisors, whose sum is σ = 14848938000000. Its totient is φ = 931828531200.

The previous prime is 3981095500699. The next prime is 3981095500843. The reversal of 3981095500800 is 80055901893.

3981095500800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (528).

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 3981095500800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24417951 + ... + 24580449.

Almost surely, 2^{3981095500800} is an apocalyptic number.

3981095500800 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 3981095500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7424469000000).

3981095500800 is an abundant number, since it is smaller than the sum of its proper divisors (10867842499200).

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

3981095500800 is a wasteful number, since it uses less digits than its factorization.

3981095500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162572 (or 162549 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 48.

The spelling of 3981095500800 in words is "three trillion, nine hundred eighty-one billion, ninety-five million, five hundred thousand, eight hundred".