3428517815824 has 40 divisors (see below), whose sum is σ = 6992642844000. Its totient is φ = 1623971817216.

The previous prime is 3428517815819. The next prime is 3428517815831. The reversal of 3428517815824 is 4285187158243.

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 7 ways as a sum of consecutive naturals, for example, 8167092 + ... + 8576620.

It is an arithmetic number, because the mean of its divisors is an integer number (174816071100).

Almost surely, 2^{3428517815824} is an apocalyptic number.

It is an amenable number.

3428517815824 is an abundant number, since it is smaller than the sum of its proper divisors (3564125028176).

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

3428517815824 is a wasteful number, since it uses less digits than its factorization.

3428517815824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437095 (or 437089 counting only the distinct ones).

The product of its digits is 17203200, while the sum is 58.

The spelling of 3428517815824 in words is "three trillion, four hundred twenty-eight billion, five hundred seventeen million, eight hundred fifteen thousand, eight hundred twenty-four".