3805345440 has 192 divisors, whose sum is σ = 14343436800. Its totient is φ = 936686592.

The previous prime is 3805345409. The next prime is 3805345447. The reversal of 3805345440 is 445435083.

3805345440 is a `hidden beast` number, since 3 + 80 + 5 + 34 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3805345395 and 3805345404.

It is not an unprimeable number, because it can be changed into a prime (3805345447) 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, 22281 + ... + 90039.

It is an arithmetic number, because the mean of its divisors is an integer number (74705400).

Almost surely, 2^3805345440 is an apocalyptic number.

3805345440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3805345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171718400).

3805345440 is an abundant number, since it is smaller than the sum of its proper divisors (10538091360).

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

3805345440 is a wasteful number, since it uses less digits than its factorization.

3805345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67796 (or 67782 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 3805345440 is about 61687.4820364715. The cubic root of 3805345440 is about 1561.2221192529. Note that the first 3 decimals are identical.

The spelling of 3805345440 in words is "three billion, eight hundred five million, three hundred forty-five thousand, four hundred forty".