3945356844384 has 96 divisors (see below), whose sum is σ = 10379205424224. Its totient is φ = 1312246333440.

The previous prime is 3945356844311. The next prime is 3945356844391. The reversal of 3945356844384 is 4834486535493.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 95663832 + ... + 95705064.

It is an arithmetic number, because the mean of its divisors is an integer number (108116723169).

Almost surely, 2^{3945356844384} is an apocalyptic number.

It is an amenable number.

3945356844384 is an abundant number, since it is smaller than the sum of its proper divisors (6433848579840).

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

3945356844384 is a wasteful number, since it uses less digits than its factorization.

3945356844384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43400 (or 43392 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 66.

The spelling of 3945356844384 in words is "three trillion, nine hundred forty-five billion, three hundred fifty-six million, eight hundred forty-four thousand, three hundred eighty-four".