3561722313600 has 576 divisors, whose sum is σ = 12925481310000. Its totient is φ = 861398630400.

The previous prime is 3561722313593. The next prime is 3561722313601. The reversal of 3561722313600 is 63132271653.

3561722313600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3561722313600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3561722313601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 521554986 + ... + 521561814.

Almost surely, 2^{3561722313600} is an apocalyptic number.

3561722313600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3561722313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6462740655000).

3561722313600 is an abundant number, since it is smaller than the sum of its proper divisors (9363758996400).

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

3561722313600 is a wasteful number, since it uses less digits than its factorization.

3561722313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7327 (or 7299 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 3561722313600 in words is "three trillion, five hundred sixty-one billion, seven hundred twenty-two million, three hundred thirteen thousand, six hundred".