3966142781568 has 256 divisors, whose sum is σ = 12272634777600. Its totient is φ = 1122984038400.

The previous prime is 3966142781551. The next prime is 3966142781591. The reversal of 3966142781568 is 8651872416693.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 3966142781499 and 3966142781508.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3275155 + ... + 4319597.

It is an arithmetic number, because the mean of its divisors is an integer number (47939979600).

Almost surely, 2^{3966142781568} 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 3966142781568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6136317388800).

3966142781568 is an abundant number, since it is smaller than the sum of its proper divisors (8306491996032).

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

3966142781568 is a wasteful number, since it uses less digits than its factorization.

3966142781568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044531 (or 1044519 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 66.

The spelling of 3966142781568 in words is "three trillion, nine hundred sixty-six billion, one hundred forty-two million, seven hundred eighty-one thousand, five hundred sixty-eight".