3621105073600 has 672 divisors, whose sum is σ = 11079859415040. Its totient is φ = 1136532848640.

The previous prime is 3621105073541. The next prime is 3621105073601. The reversal of 3621105073600 is 63705011263.

It is a super-2 number, since 2×3621105073600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3621105073601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1548141231 + ... + 1548143569.

Almost surely, 2^{3621105073600} 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 3621105073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5539929707520).

3621105073600 is an abundant number, since it is smaller than the sum of its proper divisors (7458754341440).

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

3621105073600 is a wasteful number, since it uses less digits than its factorization.

3621105073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The spelling of 3621105073600 in words is "three trillion, six hundred twenty-one billion, one hundred five million, seventy-three thousand, six hundred".