3456552668712 has 256 divisors, whose sum is σ = 10392514513920. Its totient is φ = 943991193600.

The previous prime is 3456552668683. The next prime is 3456552668717. The reversal of 3456552668712 is 2178662556543.

It is not an unprimeable number, because it can be changed into a prime (3456552668717) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 661285443 + ... + 661290669.

It is an arithmetic number, because the mean of its divisors is an integer number (40595759820).

Almost surely, 2^{3456552668712} 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 3456552668712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196257256960).

3456552668712 is an abundant number, since it is smaller than the sum of its proper divisors (6935961845208).

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

3456552668712 is a wasteful number, since it uses less digits than its factorization.

3456552668712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9784 (or 9780 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 60.

The spelling of 3456552668712 in words is "three trillion, four hundred fifty-six billion, five hundred fifty-two million, six hundred sixty-eight thousand, seven hundred twelve".