3805268848640 has 416 divisors, whose sum is σ = 11012981667840. Its totient is φ = 1233822154752.

The previous prime is 3805268848639. The next prime is 3805268848643. The reversal of 3805268848640 is 468488625083.

3805268848640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3805268848643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293451437 + ... + 293464403.

Almost surely, 2^{3805268848640} 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 3805268848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506490833920).

3805268848640 is an abundant number, since it is smaller than the sum of its proper divisors (7207712819200).

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

3805268848640 is a wasteful number, since it uses less digits than its factorization.

3805268848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13115 (or 13093 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 62.

The spelling of 3805268848640 in words is "three trillion, eight hundred five billion, two hundred sixty-eight million, eight hundred forty-eight thousand, six hundred forty".