3967400885760 has 480 divisors, whose sum is σ = 14850895419360. Its totient is φ = 973045039104.

The previous prime is 3967400885743. The next prime is 3967400885831. The reversal of 3967400885760 is 675880047693.

3967400885760 is a `hidden beast` number, since 3 + 96 + 7 + 400 + 8 + 85 + 7 + 60 = 666.

3967400885760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82943131 + ... + 82990949.

It is an arithmetic number, because the mean of its divisors is an integer number (30939365457).

Almost surely, 2^{3967400885760} is an apocalyptic number.

3967400885760 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 3967400885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7425447709680).

3967400885760 is an abundant number, since it is smaller than the sum of its proper divisors (10883494533600).

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

3967400885760 is a wasteful number, since it uses less digits than its factorization.

3967400885760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48138 (or 48119 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 3967400885760 in words is "three trillion, nine hundred sixty-seven billion, four hundred million, eight hundred eighty-five thousand, seven hundred sixty".