3513460421328 has 640 divisors, whose sum is σ = 11191863674880. Its totient is φ = 935156490240.

The previous prime is 3513460421309. The next prime is 3513460421369. The reversal of 3513460421328 is 8231240643153.

It is a self number, because there is not a number n which added to its sum of digits gives 3513460421328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6240604375 + ... + 6240604937.

It is an arithmetic number, because the mean of its divisors is an integer number (17487286992).

Almost surely, 2^{3513460421328} 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 3513460421328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5595931837440).

3513460421328 is an abundant number, since it is smaller than the sum of its proper divisors (7678403253552).

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

3513460421328 is a wasteful number, since it uses less digits than its factorization.

3513460421328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 3513460421328 in words is "three trillion, five hundred thirteen billion, four hundred sixty million, four hundred twenty-one thousand, three hundred twenty-eight".