3962776866048 has 1728 divisors, whose sum is σ = 16216453693440. Its totient is φ = 897387724800.

The previous prime is 3962776866029. The next prime is 3962776866049. The reversal of 3962776866048 is 8406686772693.

3962776866048 is a `hidden beast` number, since 3 + 9 + 6 + 2 + 7 + 7 + 6 + 8 + 6 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3962776866049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3074302588 + ... + 3074303876.

Almost surely, 2^{3962776866048} 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 3962776866048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108226846720).

3962776866048 is an abundant number, since it is smaller than the sum of its proper divisors (12253676827392).

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

3962776866048 is a wasteful number, since it uses less digits than its factorization.

3962776866048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 3962776866048 in words is "three trillion, nine hundred sixty-two billion, seven hundred seventy-six million, eight hundred sixty-six thousand, forty-eight".