3421035260160 has 576 divisors, whose sum is σ = 12633463890432. Its totient is φ = 772806279168.

The previous prime is 3421035260147. The next prime is 3421035260183. The reversal of 3421035260160 is 610625301243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1205862262 + ... + 1205865098.

It is an arithmetic number, because the mean of its divisors is an integer number (21933097032).

Almost surely, 2^{3421035260160} is an apocalyptic number.

3421035260160 is a gapful number since it is divisible by the number (30) 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 3421035260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6316731945216).

3421035260160 is an abundant number, since it is smaller than the sum of its proper divisors (9212428630272).

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

3421035260160 is a wasteful number, since it uses less digits than its factorization.

3421035260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 3421035260160 in words is "three trillion, four hundred twenty-one billion, thirty-five million, two hundred sixty thousand, one hundred sixty".