3680993573376 has 720 divisors, whose sum is σ = 12187325541600. Its totient is φ = 984190943232.

The previous prime is 3680993573357. The next prime is 3680993573381. The reversal of 3680993573376 is 6733753990863.

It is a self number, because there is not a number n which added to its sum of digits gives 3680993573376.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4981046415 + ... + 4981047153.

It is an arithmetic number, because the mean of its divisors is an integer number (16926841030).

Almost surely, 2^{3680993573376} 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 3680993573376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093662770800).

3680993573376 is an abundant number, since it is smaller than the sum of its proper divisors (8506331968224).

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

3680993573376 is a wasteful number, since it uses less digits than its factorization.

3680993573376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 69.

The spelling of 3680993573376 in words is "three trillion, six hundred eighty billion, nine hundred ninety-three million, five hundred seventy-three thousand, three hundred seventy-six".