3728781728352 has 384 divisors, whose sum is σ = 11439733939200. Its totient is φ = 1179988992000.

The previous prime is 3728781728317. The next prime is 3728781728363. The reversal of 3728781728352 is 2538271878273.

3728781728352 is a `hidden beast` number, since 37 + 2 + 87 + 8 + 172 + 8 + 352 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3728781728352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 713366763 + ... + 713371989.

It is an arithmetic number, because the mean of its divisors is an integer number (29790973800).

Almost surely, 2^{3728781728352} is an apocalyptic number.

3728781728352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3728781728352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719866969600).

3728781728352 is an abundant number, since it is smaller than the sum of its proper divisors (7710952210848).

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

3728781728352 is a wasteful number, since it uses less digits than its factorization.

3728781728352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747 (or 5733 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The spelling of 3728781728352 in words is "three trillion, seven hundred twenty-eight billion, seven hundred eighty-one million, seven hundred twenty-eight thousand, three hundred fifty-two".