3431235444241 has 48 divisors (see below), whose sum is σ = 4069334702160. Its totient is φ = 2880223948800.

The previous prime is 3431235444223. The next prime is 3431235444277. The reversal of 3431235444241 is 1424445321343.

It can be written as a sum of positive squares in 8 ways, for example, as 91373198400 + 3339862245841 = 302280^2 + 1827529^2 .

It is not a de Polignac number, because 3431235444241 - 2⁷ = 3431235444113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3431235444194 and 3431235444203.

It is not an unprimeable number, because it can be changed into a prime (3431235444281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48775405 + ... + 48845701.

It is an arithmetic number, because the mean of its divisors is an integer number (84777806295).

Almost surely, 2^{3431235444241} is an apocalyptic number.

It is an amenable number.

3431235444241 is a deficient number, since it is larger than the sum of its proper divisors (638099257919).

3431235444241 is a wasteful number, since it uses less digits than its factorization.

3431235444241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70786 (or 70775 counting only the distinct ones).

The product of its digits is 552960, while the sum is 40.

The spelling of 3431235444241 in words is "three trillion, four hundred thirty-one billion, two hundred thirty-five million, four hundred forty-four thousand, two hundred forty-one".