3597561656 has 64 divisors (see below), whose sum is σ = 7527045120. Its totient is φ = 1600767360.

The previous prime is 3597561647. The next prime is 3597561673. The reversal of 3597561656 is 6561657953.

It is a junction number, because it is equal to n+sod(n) for n = 3597561598 and 3597561607.

It is a congruent number.

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, 910421 + ... + 914363.

It is an arithmetic number, because the mean of its divisors is an integer number (117610080).

Almost surely, 2^3597561656 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 3597561656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763522560).

3597561656 is an abundant number, since it is smaller than the sum of its proper divisors (3929483464).

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

3597561656 is a wasteful number, since it uses less digits than its factorization.

3597561656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4272 counting only the distinct ones).

The product of its digits is 5103000, while the sum is 53.

The square root of 3597561656 is about 59979.6770248057. The cubic root of 3597561656 is about 1532.2727633006.

The spelling of 3597561656 in words is "three billion, five hundred ninety-seven million, five hundred sixty-one thousand, six hundred fifty-six".