3805056000 has 440 divisors, whose sum is σ = 14219215296. Its totient is φ = 1011916800.

The previous prime is 3805055953. The next prime is 3805056001. The reversal of 3805056000 is 6505083.

3805056000 is a `hidden beast` number, since 3 + 8 + 0 + 50 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3805056001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10367817 + ... + 10368183.

Almost surely, 2^3805056000 is an apocalyptic number.

3805056000 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 3805056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7109607648).

3805056000 is an abundant number, since it is smaller than the sum of its proper divisors (10414159296).

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

3805056000 is an equidigital number, since it uses as much as digits as its factorization.

3805056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 3805056000 is about 61685.1359729392. The cubic root of 3805056000 is about 1561.1825353224.

The spelling of 3805056000 in words is "three billion, eight hundred five million, fifty-six thousand".