3881388533760 has 1152 divisors, whose sum is σ = 14971385520000. Its totient is φ = 961439072256.

The previous prime is 3881388533719. The next prime is 3881388533777. The reversal of 3881388533760 is 673358831883.

3881388533760 is a `hidden beast` number, since 3 + 8 + 8 + 1 + 38 + 8 + 533 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2505737466 + ... + 2505739014.

It is an arithmetic number, because the mean of its divisors is an integer number (12995994375).

Almost surely, 2^{3881388533760} is an apocalyptic number.

3881388533760 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 3881388533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485692760000).

3881388533760 is an abundant number, since it is smaller than the sum of its proper divisors (11089996986240).

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

3881388533760 is a wasteful number, since it uses less digits than its factorization.

3881388533760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1631 counting only the distinct ones).

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

The spelling of 3881388533760 in words is "three trillion, eight hundred eighty-one billion, three hundred eighty-eight million, five hundred thirty-three thousand, seven hundred sixty".