3685814668800 has 1680 divisors, whose sum is σ = 15098901800400. Its totient is φ = 883851264000.

The previous prime is 3685814668769. The next prime is 3685814668817. The reversal of 3685814668800 is 88664185863.

3685814668800 is a `hidden beast` number, since 3 + 6 + 8 + 581 + 46 + 6 + 8 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 15293836680 + ... + 15293836920.

Almost surely, 2^{3685814668800} is an apocalyptic number.

3685814668800 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 3685814668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549450900200).

3685814668800 is an abundant number, since it is smaller than the sum of its proper divisors (11413087131600).

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

3685814668800 is a wasteful number, since it uses less digits than its factorization.

3685814668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 3685814668800 in words is "three trillion, six hundred eighty-five billion, eight hundred fourteen million, six hundred sixty-eight thousand, eight hundred".