3963977781348 has 96 divisors (see below), whose sum is σ = 10311497280000. Its totient is φ = 1176797873664.

The previous prime is 3963977781307. The next prime is 3963977781349. The reversal of 3963977781348 is 8431877793693.

It is a super-2 number, since 2×3963977781348² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3963977781348.

It is not an unprimeable number, because it can be changed into a prime (3963977781349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6129778 + ... + 6745526.

It is an arithmetic number, because the mean of its divisors is an integer number (107411430000).

Almost surely, 2^{3963977781348} 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 3963977781348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155748640000).

3963977781348 is an abundant number, since it is smaller than the sum of its proper divisors (6347519498652).

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

3963977781348 is a wasteful number, since it uses less digits than its factorization.

3963977781348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617221 (or 617219 counting only the distinct ones).

The product of its digits is 1152216576, while the sum is 75.

The spelling of 3963977781348 in words is "three trillion, nine hundred sixty-three billion, nine hundred seventy-seven million, seven hundred eighty-one thousand, three hundred forty-eight".