3654993984768 has 360 divisors, whose sum is σ = 12690499143168. Its totient is φ = 1024578367488.

The previous prime is 3654993984767. The next prime is 3654993984799. The reversal of 3654993984768 is 8674893994563.

3654993984768 is a `hidden beast` number, since 3 + 6 + 54 + 9 + 9 + 3 + 98 + 476 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3654993984767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7455505 + ... + 7930607.

Almost surely, 2^{3654993984768} 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 3654993984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345249571584).

3654993984768 is an abundant number, since it is smaller than the sum of its proper divisors (9035505158400).

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

3654993984768 is an equidigital number, since it uses as much as digits as its factorization.

3654993984768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475191 (or 475168 counting only the distinct ones).

The product of its digits is 8465264640, while the sum is 81.

The spelling of 3654993984768 in words is "three trillion, six hundred fifty-four billion, nine hundred ninety-three million, nine hundred eighty-four thousand, seven hundred sixty-eight".