3538541845776 has 320 divisors, whose sum is σ = 10779310080000. Its totient is φ = 979286450688.

The previous prime is 3538541845723. The next prime is 3538541845799. The reversal of 3538541845776 is 6775481458353.

3538541845776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1203993715 + ... + 1203996653.

It is an arithmetic number, because the mean of its divisors is an integer number (33685344000).

Almost surely, 2^{3538541845776} 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 3538541845776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389655040000).

3538541845776 is an abundant number, since it is smaller than the sum of its proper divisors (7240768234224).

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

3538541845776 is a wasteful number, since it uses less digits than its factorization.

3538541845776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3660 counting only the distinct ones).

The product of its digits is 338688000, while the sum is 66.

The spelling of 3538541845776 in words is "three trillion, five hundred thirty-eight billion, five hundred forty-one million, eight hundred forty-five thousand, seven hundred seventy-six".