3482956678656 has 1920 divisors, whose sum is σ = 12865216573440. Its totient is φ = 827306016768.

The previous prime is 3482956678589. The next prime is 3482956678711. The reversal of 3482956678656 is 6568766592843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39134344660 + ... + 39134344748.

It is an arithmetic number, because the mean of its divisors is an integer number (6700633632).

Almost surely, 2^{3482956678656} 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 3482956678656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6432608286720).

3482956678656 is an abundant number, since it is smaller than the sum of its proper divisors (9382259894784).

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

3482956678656 is a wasteful number, since it uses less digits than its factorization.

3482956678656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 221 counting only the distinct ones).

The product of its digits is 3135283200, while the sum is 75.

The spelling of 3482956678656 in words is "three trillion, four hundred eighty-two billion, nine hundred fifty-six million, six hundred seventy-eight thousand, six hundred fifty-six".