3684580064676 has 135 divisors (see below), whose sum is σ = 10867117458561. Its totient is φ = 1052575921152.

The previous prime is 3684580064663. The next prime is 3684580064677. The reversal of 3684580064676 is 6764600854863.

The square root of 3684580064676 is 1919526.

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

3684580064676 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 580 + 0 + 6 + 46 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 318969671076 + 3365610393600 = 564774^2 + 1834560^2 .

It is a super-2 number, since 2×3684580064676² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3684580064677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 564337380 + ... + 564343908.

Almost surely, 2^{3684580064676} is an apocalyptic number.

3684580064676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3684580064676 is the 1919526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3684580064676

3684580064676 is an abundant number, since it is smaller than the sum of its proper divisors (7182537393885).

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

3684580064676 is an frugal number, since it uses more digits than its factorization.

3684580064676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13096 (or 6541 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 3684580064676 in words is "three trillion, six hundred eighty-four billion, five hundred eighty million, sixty-four thousand, six hundred seventy-six".