3980952772128 has 576 divisors, whose sum is σ = 12919822755840. Its totient is φ = 1200202831872.

The previous prime is 3980952772127. The next prime is 3980952772169. The reversal of 3980952772128 is 8212772590893.

3980952772128 is a `hidden beast` number, since 3 + 9 + 80 + 9 + 527 + 7 + 2 + 1 + 28 = 666.

3980952772128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3980952772127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2912181301 + ... + 2912182667.

It is an arithmetic number, because the mean of its divisors is an integer number (22430247840).

Almost surely, 2^{3980952772128} is an apocalyptic number.

3980952772128 is a gapful number since it is divisible by the number (38) 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 3980952772128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6459911377920).

3980952772128 is an abundant number, since it is smaller than the sum of its proper divisors (8938869983712).

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

3980952772128 is a wasteful number, since it uses less digits than its factorization.

3980952772128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 3980952772128 in words is "three trillion, nine hundred eighty billion, nine hundred fifty-two million, seven hundred seventy-two thousand, one hundred twenty-eight".