4349863984320 has 672 divisors, whose sum is σ = 15622519610880. Its totient is φ = 1109993472000.

The previous prime is 4349863984273. The next prime is 4349863984343. The reversal of 4349863984320 is 234893689434.

4349863984320 is a `hidden beast` number, since 4 + 3 + 498 + 6 + 39 + 84 + 32 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1768955251 + ... + 1768957709.

It is an arithmetic number, because the mean of its divisors is an integer number (23247797040).

Almost surely, 2^{4349863984320} is an apocalyptic number.

4349863984320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4349863984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7811259805440).

4349863984320 is an abundant number, since it is smaller than the sum of its proper divisors (11272655626560).

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

4349863984320 is a wasteful number, since it uses less digits than its factorization.

4349863984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 4349863984320 in words is "four trillion, three hundred forty-nine billion, eight hundred sixty-three million, nine hundred eighty-four thousand, three hundred twenty".