3686210406000 has 240 divisors, whose sum is σ = 13552321479840. Its totient is φ = 931253068800.

The previous prime is 3686210405951. The next prime is 3686210406017. The reversal of 3686210406000 is 6040126863.

3686210406000 is a `hidden beast` number, since 3 + 6 + 8 + 6 + 2 + 1 + 0 + 40 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5047197 + ... + 5731196.

It is an arithmetic number, because the mean of its divisors is an integer number (56468006166).

Almost surely, 2^{3686210406000} is an apocalyptic number.

3686210406000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3686210406000 is an abundant number, since it is smaller than the sum of its proper divisors (9866111073840).

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

3686210406000 is a wasteful number, since it uses less digits than its factorization.

3686210406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10778441 (or 10778422 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3686210406000 in words is "three trillion, six hundred eighty-six billion, two hundred ten million, four hundred six thousand".