3485081279680 has 672 divisors, whose sum is σ = 11415848306688. Its totient is φ = 983719526400.

The previous prime is 3485081279677. The next prime is 3485081279699. The reversal of 3485081279680 is 869721805843.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220692585 + ... + 220708375.

It is an arithmetic number, because the mean of its divisors is an integer number (16987869504).

It is a 1-persistent number, because it is pandigital, but 2⋅3485081279680 = 6970162559360 is not.

Almost surely, 2^{3485081279680} 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 3485081279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5707924153344).

3485081279680 is an abundant number, since it is smaller than the sum of its proper divisors (7930767027008).

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

3485081279680 is a wasteful number, since it uses less digits than its factorization.

3485081279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15905 (or 15882 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 61.

The spelling of 3485081279680 in words is "three trillion, four hundred eighty-five billion, eighty-one million, two hundred seventy-nine thousand, six hundred eighty".