3963774018880 has 336 divisors, whose sum is σ = 10564139424384. Its totient is φ = 1408149872640.

The previous prime is 3963774018871. The next prime is 3963774018917. The reversal of 3963774018880 is 888104773693.

3963774018880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 1088050339 + ... + 1088053981.

It is an arithmetic number, because the mean of its divisors is an integer number (31440891144).

Almost surely, 2^{3963774018880} 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 3963774018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282069712192).

3963774018880 is an abundant number, since it is smaller than the sum of its proper divisors (6600365405504).

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

3963774018880 is a wasteful number, since it uses less digits than its factorization.

3963774018880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 64.

The spelling of 3963774018880 in words is "three trillion, nine hundred sixty-three billion, seven hundred seventy-four million, eighteen thousand, eight hundred eighty".