3964110627344 has 80 divisors (see below), whose sum is σ = 8893183180800. Its totient is φ = 1676569145472.

The previous prime is 3964110627319. The next prime is 3964110627371. The reversal of 3964110627344 is 4437260114693.

It is a junction number, because it is equal to n+sod(n) for n = 3964110627292 and 3964110627301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17931209 + ... + 18150935.

It is an arithmetic number, because the mean of its divisors is an integer number (111164789760).

Almost surely, 2^{3964110627344} 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 3964110627344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446591590400).

3964110627344 is an abundant number, since it is smaller than the sum of its proper divisors (4929072553456).

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

3964110627344 is a wasteful number, since it uses less digits than its factorization.

3964110627344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221860 (or 221854 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 50.

The spelling of 3964110627344 in words is "three trillion, nine hundred sixty-four billion, one hundred ten million, six hundred twenty-seven thousand, three hundred forty-four".