3434438147744 has 48 divisors (see below), whose sum is σ = 7056086929920. Its totient is φ = 1642427846400.

The previous prime is 3434438147669. The next prime is 3434438147779. The reversal of 3434438147744 is 4477418344343.

It is a super-3 number, since 3×3434438147744³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3434438147744.

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 7 ways as a sum of consecutive naturals, for example, 9501722 + ... + 9856550.

It is an arithmetic number, because the mean of its divisors is an integer number (147001811040).

Almost surely, 2^{3434438147744} is an apocalyptic number.

It is an amenable number.

3434438147744 is an abundant number, since it is smaller than the sum of its proper divisors (3621648782176).

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

3434438147744 is a wasteful number, since it uses less digits than its factorization.

3434438147744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368013 (or 368005 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 56.

The spelling of 3434438147744 in words is "three trillion, four hundred thirty-four billion, four hundred thirty-eight million, one hundred forty-seven thousand, seven hundred forty-four".