3881325763840 has 1152 divisors, whose sum is σ = 12183344087040. Its totient is φ = 1154070872064.

The previous prime is 3881325763823. The next prime is 3881325763853. The reversal of 3881325763840 is 483675231883.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 10575819337 + ... + 10575819703.

It is an arithmetic number, because the mean of its divisors is an integer number (10575819520).

Almost surely, 2^{3881325763840} 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 3881325763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6091672043520).

3881325763840 is an abundant number, since it is smaller than the sum of its proper divisors (8302018323200).

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

3881325763840 is a wasteful number, since it uses less digits than its factorization.

3881325763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 58.

The spelling of 3881325763840 in words is "three trillion, eight hundred eighty-one billion, three hundred twenty-five million, seven hundred sixty-three thousand, eight hundred forty".