3428140985568 has 288 divisors, whose sum is σ = 10535283499104. Its totient is φ = 1051143008256.

The previous prime is 3428140985561. The next prime is 3428140985579. The reversal of 3428140985568 is 8655890418243.

3428140985568 is a `hidden beast` number, since 3 + 4 + 28 + 1 + 40 + 9 + 8 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3428140985568² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428140985561) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1669819230 + ... + 1669821282.

It is an arithmetic number, because the mean of its divisors is an integer number (36580845483).

Almost surely, 2^{3428140985568} 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 3428140985568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267641749552).

3428140985568 is an abundant number, since it is smaller than the sum of its proper divisors (7107142513536).

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

3428140985568 is a wasteful number, since it uses less digits than its factorization.

3428140985568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 3428140985568 in words is "three trillion, four hundred twenty-eight billion, one hundred forty million, nine hundred eighty-five thousand, five hundred sixty-eight".