3628285824636 has 240 divisors, whose sum is σ = 10433996496000. Its totient is φ = 1090284624000.

The previous prime is 3628285824629. The next prime is 3628285824649. The reversal of 3628285824636 is 6364285828263.

3628285824636 is a `hidden beast` number, since 3 + 6 + 2 + 8 + 2 + 8 + 582 + 46 + 3 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1036947615 + ... + 1036951113.

It is an arithmetic number, because the mean of its divisors is an integer number (43474985400).

Almost surely, 2^{3628285824636} is an apocalyptic number.

3628285824636 is a gapful number since it is divisible by the number (36) 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 3628285824636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216998248000).

3628285824636 is an abundant number, since it is smaller than the sum of its proper divisors (6805710671364).

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

3628285824636 is a wasteful number, since it uses less digits than its factorization.

3628285824636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878 (or 5867 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 63.

The spelling of 3628285824636 in words is "three trillion, six hundred twenty-eight billion, two hundred eighty-five million, eight hundred twenty-four thousand, six hundred thirty-six".