3968344414458 has 32 divisors (see below), whose sum is σ = 9023625547200. Its totient is φ = 1292019110928.

The previous prime is 3968344414453. The next prime is 3968344414459. The reversal of 3968344414458 is 8544144438693.

3968344414458 is a `hidden beast` number, since 3 + 96 + 83 + 4 + 4 + 4 + 14 + 458 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3968344414395 and 3968344414404.

It is not an unprimeable number, because it can be changed into a prime (3968344414453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 854507673 + ... + 854512316.

It is an arithmetic number, because the mean of its divisors is an integer number (281988298350).

Almost surely, 2^{3968344414458} is an apocalyptic number.

3968344414458 is an abundant number, since it is smaller than the sum of its proper divisors (5055281132742).

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

3968344414458 is a wasteful number, since it uses less digits than its factorization.

3968344414458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709020043 (or 1709020037 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 63.

The spelling of 3968344414458 in words is "three trillion, nine hundred sixty-eight billion, three hundred forty-four million, four hundred fourteen thousand, four hundred fifty-eight".