3686173920000 has 3780 divisors, whose sum is σ = 17242369069464. Its totient is φ = 776355840000.

The previous prime is 3686173919971. The next prime is 3686173920001. The reversal of 3686173920000 is 293716863.

3686173920000 is a `hidden beast` number, since 3 + 6 + 8 + 617 + 3 + 9 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3686173920001) by changing a digit.

It is a polite number, since it can be written in 419 ways as a sum of consecutive naturals, for example, 216833759992 + ... + 216833760008.

Almost surely, 2^{3686173920000} is an apocalyptic number.

3686173920000 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 3686173920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8621184534732).

3686173920000 is an abundant number, since it is smaller than the sum of its proper divisors (13556195149464).

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

3686173920000 is an equidigital number, since it uses as much as digits as its factorization.

3686173920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 3686173920000 in words is "three trillion, six hundred eighty-six billion, one hundred seventy-three million, nine hundred twenty thousand".