3406763512576 has 144 divisors (see below), whose sum is σ = 6993934915968. Its totient is φ = 1655287603200.

The previous prime is 3406763512567. The next prime is 3406763512651. The reversal of 3406763512576 is 6752153676043.

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 15 ways as a sum of consecutive naturals, for example, 3122605791 + ... + 3122606881.

It is an arithmetic number, because the mean of its divisors is an integer number (48568992472).

Almost surely, 2^{3406763512576} 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 3406763512576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496967457984).

3406763512576 is an abundant number, since it is smaller than the sum of its proper divisors (3587171403392).

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

3406763512576 is a wasteful number, since it uses less digits than its factorization.

3406763512576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 55.

The spelling of 3406763512576 in words is "three trillion, four hundred six billion, seven hundred sixty-three million, five hundred twelve thousand, five hundred seventy-six".