3981087883904 has 64 divisors (see below), whose sum is σ = 7965125189280. Its totient is φ = 1982002560000.

The previous prime is 3981087883897. The next prime is 3981087883951. The reversal of 3981087883904 is 4093887801893.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115033067 + ... + 115067669.

Almost surely, 2^{3981087883904} 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 3981087883904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3982562594640).

3981087883904 is an abundant number, since it is smaller than the sum of its proper divisors (3984037305376).

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

3981087883904 is a wasteful number, since it uses less digits than its factorization.

3981087883904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38449 (or 38437 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 68.

The spelling of 3981087883904 in words is "three trillion, nine hundred eighty-one billion, eighty-seven million, eight hundred eighty-three thousand, nine hundred four".