3881608980480 has 2304 divisors, whose sum is σ = 17426600755200. Its totient is φ = 775878082560.

The previous prime is 3881608980479. The next prime is 3881608980503. The reversal of 3881608980480 is 840898061883.

3881608980480 is a `hidden beast` number, since 3 + 8 + 8 + 1 + 60 + 8 + 98 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 30563850177 + ... + 30563850303.

It is an arithmetic number, because the mean of its divisors is an integer number (7563628800).

Almost surely, 2^{3881608980480} is an apocalyptic number.

3881608980480 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 3881608980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8713300377600).

3881608980480 is an abundant number, since it is smaller than the sum of its proper divisors (13544991774720).

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

3881608980480 is a wasteful number, since it uses less digits than its factorization.

3881608980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 3881608980480 in words is "three trillion, eight hundred eighty-one billion, six hundred eight million, nine hundred eighty thousand, four hundred eighty".