3686261214672 has 200 divisors, whose sum is σ = 10713825378432. Its totient is φ = 1223609587200.

The previous prime is 3686261214661. The next prime is 3686261214673. The reversal of 3686261214672 is 2764121626863.

3686261214672 is a `hidden beast` number, since 3 + 6 + 8 + 6 + 2 + 612 + 14 + 6 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3686261214673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1081965193 + ... + 1081968599.

Almost surely, 2^{3686261214672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3686261214672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356912689216).

3686261214672 is an abundant number, since it is smaller than the sum of its proper divisors (7027564163760).

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

3686261214672 is a wasteful number, since it uses less digits than its factorization.

3686261214672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679 (or 6664 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 3686261214672 in words is "three trillion, six hundred eighty-six billion, two hundred sixty-one million, two hundred fourteen thousand, six hundred seventy-two".