3430556246568 has 256 divisors, whose sum is σ = 10122299965440. Its totient is φ = 958036780800.

The previous prime is 3430556246567. The next prime is 3430556246597. The reversal of 3430556246568 is 8656426550343.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3430556246567) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 42688521 + ... + 42768807.

It is an arithmetic number, because the mean of its divisors is an integer number (39540234240).

Almost surely, 2^{3430556246568} 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 3430556246568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061149982720).

3430556246568 is an abundant number, since it is smaller than the sum of its proper divisors (6691743718872).

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

3430556246568 is a wasteful number, since it uses less digits than its factorization.

3430556246568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80588 (or 80584 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 57.

The spelling of 3430556246568 in words is "three trillion, four hundred thirty billion, five hundred fifty-six million, two hundred forty-six thousand, five hundred sixty-eight".