3419841095072 has 72 divisors (see below), whose sum is σ = 7084886911200. Its totient is φ = 1624743331200.

The previous prime is 3419841094993. The next prime is 3419841095119. The reversal of 3419841095072 is 2705901489143.

3419841095072 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 2×3419841095072² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1887179 + ... + 3225077.

It is an arithmetic number, because the mean of its divisors is an integer number (98401207100).

Almost surely, 2^{3419841095072} is an apocalyptic number.

3419841095072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3419841095072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542443455600).

3419841095072 is an abundant number, since it is smaller than the sum of its proper divisors (3665045816128).

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

3419841095072 is a wasteful number, since it uses less digits than its factorization.

3419841095072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338106 (or 1338075 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 3419841095072 in words is "three trillion, four hundred nineteen billion, eight hundred forty-one million, ninety-five thousand, seventy-two".