3686353920144 has 675 divisors, whose sum is σ = 13131671661801. Its totient is φ = 995321779200.

The previous prime is 3686353920127. The next prime is 3686353920167. The reversal of 3686353920144 is 4410293536863.

The square root of 3686353920144 is 1919988.

It is a perfect power (a square), and thus also a powerful number.

3686353920144 is a `hidden beast` number, since 3 + 6 + 8 + 63 + 539 + 2 + 0 + 1 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3649674009744 + 36679910400 = 1910412^2 + 191520^2 .

It is a super-2 number, since 2×3686353920144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9192902344 + ... + 9192902744.

Almost surely, 2^{3686353920144} is an apocalyptic number.

3686353920144 is the 1919988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3686353920144

3686353920144 is an abundant number, since it is smaller than the sum of its proper divisors (9445317741657).

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

3686353920144 is an equidigital number, since it uses as much as digits as its factorization.

3686353920144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 3686353920144 in words is "three trillion, six hundred eighty-six billion, three hundred fifty-three million, nine hundred twenty thousand, one hundred forty-four".