3541683728000 has 256 divisors, whose sum is σ = 9631276462080. Its totient is φ = 1284497920000.

The previous prime is 3541683727993. The next prime is 3541683728047. The reversal of 3541683728000 is 8273861453.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67381730 + ... + 67434270.

It is an arithmetic number, because the mean of its divisors is an integer number (37622173680).

Almost surely, 2^{3541683728000} 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 3541683728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815638231040).

3541683728000 is an abundant number, since it is smaller than the sum of its proper divisors (6089592734080).

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

3541683728000 is a wasteful number, since it uses less digits than its factorization.

3541683728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52964 (or 52942 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 3541683728000 in words is "three trillion, five hundred forty-one billion, six hundred eighty-three million, seven hundred twenty-eight thousand".