3977448064128 has 1280 divisors, whose sum is σ = 15947246304000. Its totient is φ = 972170035200.

The previous prime is 3977448064069. The next prime is 3977448064141. The reversal of 3977448064128 is 8214608447793.

3977448064128 is a `hidden beast` number, since 3 + 9 + 7 + 7 + 448 + 0 + 64 + 128 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 665010898 + ... + 665016878.

It is an arithmetic number, because the mean of its divisors is an integer number (12458786175).

Almost surely, 2^{3977448064128} 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 3977448064128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7973623152000).

3977448064128 is an abundant number, since it is smaller than the sum of its proper divisors (11969798239872).

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

3977448064128 is a wasteful number, since it uses less digits than its factorization.

3977448064128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6056 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 3977448064128 in words is "three trillion, nine hundred seventy-seven billion, four hundred forty-eight million, sixty-four thousand, one hundred twenty-eight".