3656206768392 has 256 divisors, whose sum is σ = 10800022464000. Its totient is φ = 1142097076224.

The previous prime is 3656206768339. The next prime is 3656206768397. The reversal of 3656206768392 is 2938676026563.

3656206768392 is a `hidden beast` number, since 3 + 6 + 562 + 0 + 6 + 7 + 68 + 3 + 9 + 2 = 666.

3656206768392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3656206768397) 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, 1945824909 + ... + 1945826787.

It is an arithmetic number, because the mean of its divisors is an integer number (42187587750).

Almost surely, 2^{3656206768392} 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 3656206768392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400011232000).

3656206768392 is an abundant number, since it is smaller than the sum of its proper divisors (7143815695608).

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

3656206768392 is a wasteful number, since it uses less digits than its factorization.

3656206768392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 3656206768392 in words is "three trillion, six hundred fifty-six billion, two hundred six million, seven hundred sixty-eight thousand, three hundred ninety-two".