3685662756792 has 192 divisors, whose sum is σ = 10612804550400. Its totient is φ = 1155517624320.

The previous prime is 3685662756733. The next prime is 3685662756833. The reversal of 3685662756792 is 2976572665863.

3685662756792 is a `hidden beast` number, since 3 + 6 + 8 + 56 + 6 + 2 + 7 + 567 + 9 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3685662756792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 780692992 + ... + 780697712.

It is an arithmetic number, because the mean of its divisors is an integer number (55275023700).

Almost surely, 2^{3685662756792} 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 3685662756792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5306402275200).

3685662756792 is an abundant number, since it is smaller than the sum of its proper divisors (6927141793608).

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

3685662756792 is a wasteful number, since it uses less digits than its factorization.

3685662756792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6991 (or 6950 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 72.

Adding to 3685662756792 its sum of digits (72), we get a square (3685662756864 = 1919808²).

The spelling of 3685662756792 in words is "three trillion, six hundred eighty-five billion, six hundred sixty-two million, seven hundred fifty-six thousand, seven hundred ninety-two".