3856072193064 has 768 divisors, whose sum is σ = 14087392704000. Its totient is φ = 963316882944.

The previous prime is 3856072193063. The next prime is 3856072193081. The reversal of 3856072193064 is 4603912706583.

3856072193064 is a `hidden beast` number, since 3 + 8 + 5 + 607 + 21 + 9 + 3 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3856072193064.

It is not an unprimeable number, because it can be changed into a prime (3856072193063) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 574757742 + ... + 574764450.

It is an arithmetic number, because the mean of its divisors is an integer number (18342959250).

It is a 1-persistent number, because it is pandigital, but 2⋅3856072193064 = 7712144386128 is not.

Almost surely, 2^{3856072193064} 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 3856072193064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7043696352000).

3856072193064 is an abundant number, since it is smaller than the sum of its proper divisors (10231320510936).

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

3856072193064 is a wasteful number, since it uses less digits than its factorization.

3856072193064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6794 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3856072193064 in words is "three trillion, eight hundred fifty-six billion, seventy-two million, one hundred ninety-three thousand, sixty-four".