3684586546368 has 448 divisors, whose sum is σ = 13761767792640. Its totient is φ = 940410777600.

The previous prime is 3684586546367. The next prime is 3684586546391. The reversal of 3684586546368 is 8636456854863.

3684586546368 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 586 + 5 + 4 + 6 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3684586546296 and 3684586546305.

It is not an unprimeable number, because it can be changed into a prime (3684586546367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4496758 + ... + 5252618.

It is an arithmetic number, because the mean of its divisors is an integer number (30718231680).

Almost surely, 2^{3684586546368} 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 3684586546368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6880883896320).

3684586546368 is an abundant number, since it is smaller than the sum of its proper divisors (10077181246272).

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

3684586546368 is a wasteful number, since it uses less digits than its factorization.

3684586546368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755933 (or 755917 counting only the distinct ones).

The product of its digits is 2388787200, while the sum is 72.

The spelling of 3684586546368 in words is "three trillion, six hundred eighty-four billion, five hundred eighty-six million, five hundred forty-six thousand, three hundred sixty-eight".