3728030688768 has 240 divisors, whose sum is σ = 10398222971136. Its totient is φ = 1186824376320.

The previous prime is 3728030688751. The next prime is 3728030688769. The reversal of 3728030688768 is 8678860308273.

It is a junction number, because it is equal to n+sod(n) for n = 3728030688699 and 3728030688708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3728030688769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590716333 + ... + 590722643.

Almost surely, 2^{3728030688768} 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 3728030688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5199111485568).

3728030688768 is an abundant number, since it is smaller than the sum of its proper divisors (6670192282368).

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

3728030688768 is an equidigital number, since it uses as much as digits as its factorization.

3728030688768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7105 (or 7066 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 66.

The spelling of 3728030688768 in words is "three trillion, seven hundred twenty-eight billion, thirty million, six hundred eighty-eight thousand, seven hundred sixty-eight".