3663596438100 has 216 divisors, whose sum is σ = 11510888380992. Its totient is φ = 974618265600.

The previous prime is 3663596438081. The next prime is 3663596438129. The reversal of 3663596438100 is 18346953663.

3663596438100 is a `hidden beast` number, since 3 + 6 + 6 + 3 + 596 + 4 + 38 + 10 + 0 = 666.

It is a super-2 number, since 2×3663596438100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 915210699 + ... + 915214701.

It is an arithmetic number, because the mean of its divisors is an integer number (53291149912).

Almost surely, 2^{3663596438100} is an apocalyptic number.

3663596438100 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 3663596438100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755444190496).

3663596438100 is an abundant number, since it is smaller than the sum of its proper divisors (7847291942892).

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

3663596438100 is a wasteful number, since it uses less digits than its factorization.

3663596438100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6207 (or 6197 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 3663596438100 in words is "three trillion, six hundred sixty-three billion, five hundred ninety-six million, four hundred thirty-eight thousand, one hundred".