3430504006784 has 64 divisors (see below), whose sum is σ = 6900005793240. Its totient is φ = 1698795749376.

The previous prime is 3430504006751. The next prime is 3430504006801. The reversal of 3430504006784 is 4876004050343.

It can be written as a sum of positive squares in 4 ways, for example, as 1901641000000 + 1528863006784 = 1379000^2 + 1236472^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×3430504006784⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 7 ways as a sum of consecutive naturals, for example, 7367192 + ... + 7818984.

Almost surely, 2^{3430504006784} 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 3430504006784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450002896620).

3430504006784 is an abundant number, since it is smaller than the sum of its proper divisors (3469501786456).

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

3430504006784 is a wasteful number, since it uses less digits than its factorization.

3430504006784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452377 (or 452365 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 3430504006784 in words is "three trillion, four hundred thirty billion, five hundred four million, six thousand, seven hundred eighty-four".