3475096969344 has 1536 divisors, whose sum is σ = 13013896358400. Its totient is φ = 798810439680.

The previous prime is 3475096969273. The next prime is 3475096969349. The reversal of 3475096969344 is 4439696905743.

It is not an unprimeable number, because it can be changed into a prime (3475096969349) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15175095822 + ... + 15175096050.

It is an arithmetic number, because the mean of its divisors is an integer number (8472588775).

Almost surely, 2^{3475096969344} 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 3475096969344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506948179200).

3475096969344 is an abundant number, since it is smaller than the sum of its proper divisors (9538799389056).

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

3475096969344 is a wasteful number, since it uses less digits than its factorization.

3475096969344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 69.

The spelling of 3475096969344 in words is "three trillion, four hundred seventy-five billion, ninety-six million, nine hundred sixty-nine thousand, three hundred forty-four".