3801481895328 has 288 divisors, whose sum is σ = 11282914694016. Its totient is φ = 1118589508608.

The previous prime is 3801481895269. The next prime is 3801481895357. The reversal of 3801481895328 is 8235981841083.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 819812626 + ... + 819817262.

It is an arithmetic number, because the mean of its divisors is an integer number (39176787132).

Almost surely, 2^{3801481895328} 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 3801481895328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641457347008).

3801481895328 is an abundant number, since it is smaller than the sum of its proper divisors (7481432798688).

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

3801481895328 is an frugal number, since it uses more digits than its factorization.

3801481895328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 60.

The spelling of 3801481895328 in words is "three trillion, eight hundred one billion, four hundred eighty-one million, eight hundred ninety-five thousand, three hundred twenty-eight".