3867577045728 has 192 divisors, whose sum is σ = 11377007808768. Its totient is φ = 1140082974720.

The previous prime is 3867577045687. The next prime is 3867577045747. The reversal of 3867577045728 is 8275407757683.

It is a congruent number.

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, 313234051 + ... + 313246397.

It is an arithmetic number, because the mean of its divisors is an integer number (59255249004).

Almost surely, 2^{3867577045728} 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 3867577045728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688503904384).

3867577045728 is an abundant number, since it is smaller than the sum of its proper divisors (7509430763040).

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

3867577045728 is a wasteful number, since it uses less digits than its factorization.

3867577045728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20425 (or 20417 counting only the distinct ones).

The product of its (nonzero) digits is 553190400, while the sum is 69.

The spelling of 3867577045728 in words is "three trillion, eight hundred sixty-seven billion, five hundred seventy-seven million, forty-five thousand, seven hundred twenty-eight".