3876119889408 has 960 divisors, whose sum is σ = 12882045496320. Its totient is φ = 1156149116928.

The previous prime is 3876119889379. The next prime is 3876119889419. The reversal of 3876119889408 is 8049889116783.

3876119889408 is a `hidden beast` number, since 3 + 87 + 61 + 1 + 9 + 8 + 89 + 408 = 666.

3876119889408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8829430053 + ... + 8829430491.

It is an arithmetic number, because the mean of its divisors is an integer number (13418797392).

Almost surely, 2^{3876119889408} 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 3876119889408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441022748160).

3876119889408 is an abundant number, since it is smaller than the sum of its proper divisors (9005925606912).

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

3876119889408 is a wasteful number, since it uses less digits than its factorization.

3876119889408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 3876119889408 in words is "three trillion, eight hundred seventy-six billion, one hundred nineteen million, eight hundred eighty-nine thousand, four hundred eight".