3122561456 has 60 divisors (see below), whose sum is σ = 7044859368. Its totient is φ = 1336882176.

The previous prime is 3122561423. The next prime is 3122561467. The reversal of 3122561456 is 6541652213.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1329275 + ... + 1331621.

Almost surely, 2^3122561456 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 3122561456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522429684).

3122561456 is an abundant number, since it is smaller than the sum of its proper divisors (3922297912).

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

3122561456 is a wasteful number, since it uses less digits than its factorization.

3122561456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 4053 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 3122561456 is about 55879.8841802665. The cubic root of 3122561456 is about 1461.6284850318.

The spelling of 3122561456 in words is "three billion, one hundred twenty-two million, five hundred sixty-one thousand, four hundred fifty-six".