3685662756864 has 819 divisors, whose sum is σ = 12267962186137. Its totient is φ = 1105809408000.

The previous prime is 3685662756857. The next prime is 3685662756869. The reversal of 3685662756864 is 4686572665863.

The square root of 3685662756864 is 1919808.

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

3685662756864 is a `hidden beast` number, since 3 + 6 + 8 + 56 + 6 + 2 + 7 + 568 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3541141131264 + 144521625600 = 1881792^2 + 380160^2 .

It is a super-2 number, since 2×3685662756864² (a number of 26 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3685662756792 and 3685662756801.

It is not an unprimeable number, because it can be changed into a prime (3685662756869) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 36491710414 + ... + 36491710514.

Almost surely, 2^{3685662756864} is an apocalyptic number.

3685662756864 is the 1919808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3685662756864

3685662756864 is an abundant number, since it is smaller than the sum of its proper divisors (8582299429273).

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

3685662756864 is an frugal number, since it uses more digits than its factorization.

3685662756864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 117 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 72.

The spelling of 3685662756864 in words is "three trillion, six hundred eighty-five billion, six hundred sixty-two million, seven hundred fifty-six thousand, eight hundred sixty-four".