3668195887800 has 192 divisors, whose sum is σ = 11682086807520. Its totient is φ = 951475599360.

The previous prime is 3668195887757. The next prime is 3668195887819. The reversal of 3668195887800 is 87885918663.

It is a super-2 number, since 2×3668195887800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84271642 + ... + 84315158.

Almost surely, 2^{3668195887800} is an apocalyptic number.

3668195887800 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 3668195887800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5841043403760).

3668195887800 is an abundant number, since it is smaller than the sum of its proper divisors (8013890919720).

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

3668195887800 is a wasteful number, since it uses less digits than its factorization.

3668195887800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47370 (or 47361 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 69.

The spelling of 3668195887800 in words is "three trillion, six hundred sixty-eight billion, one hundred ninety-five million, eight hundred eighty-seven thousand, eight hundred".