3515475360896 has 128 divisors (see below), whose sum is σ = 7437242655360. Its totient is φ = 1649489264640.

The previous prime is 3515475360877. The next prime is 3515475360949. The reversal of 3515475360896 is 6980635745153.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3515475360896² (a number of 26 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1442540990 + ... + 1442543426.

It is an arithmetic number, because the mean of its divisors is an integer number (58103458245).

Almost surely, 2^{3515475360896} 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 3515475360896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718621327680).

3515475360896 is an abundant number, since it is smaller than the sum of its proper divisors (3921767294464).

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

3515475360896 is a wasteful number, since it uses less digits than its factorization.

3515475360896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4142 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 62.

The spelling of 3515475360896 in words is "three trillion, five hundred fifteen billion, four hundred seventy-five million, three hundred sixty thousand, eight hundred ninety-six".