3914431774344 has 192 divisors, whose sum is σ = 13077176112000. Its totient is φ = 1030077554688.

The previous prime is 3914431774301. The next prime is 3914431774391. The reversal of 3914431774344 is 4434771344193.

3914431774344 is a `hidden beast` number, since 3 + 91 + 4 + 43 + 177 + 4 + 344 = 666.

3914431774344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3914431774344² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2276547 + ... + 3607149.

It is an arithmetic number, because the mean of its divisors is an integer number (68110292250).

Almost surely, 2^{3914431774344} 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 3914431774344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538588056000).

3914431774344 is an abundant number, since it is smaller than the sum of its proper divisors (9162744337656).

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

3914431774344 is a wasteful number, since it uses less digits than its factorization.

3914431774344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331084 (or 1331077 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 3914431774344 in words is "three trillion, nine hundred fourteen billion, four hundred thirty-one million, seven hundred seventy-four thousand, three hundred forty-four".