3895061136768 has 256 divisors, whose sum is σ = 12039091416000. Its totient is φ = 1253580281856.

The previous prime is 3895061136767. The next prime is 3895061136779. The reversal of 3895061136768 is 8676311605983.

3895061136768 is a `hidden beast` number, since 3 + 8 + 9 + 5 + 0 + 611 + 3 + 6 + 7 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3895061136767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7878246 + ... + 8358042.

Almost surely, 2^{3895061136768} 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 3895061136768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6019545708000).

3895061136768 is an abundant number, since it is smaller than the sum of its proper divisors (8144030279232).

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

3895061136768 is an frugal number, since it uses more digits than its factorization.

3895061136768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479861 (or 479831 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 3895061136768 in words is "three trillion, eight hundred ninety-five billion, sixty-one million, one hundred thirty-six thousand, seven hundred sixty-eight".