3805416000 has 336 divisors, whose sum is σ = 14417984880. Its totient is φ = 954777600.

The previous prime is 3805415981. The next prime is 3805416001. The reversal of 3805416000 is 6145083.

3805416000 is a `hidden beast` number, since 3 + 8 + 0 + 54 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1332542016 + 2472873984 = 36504^2 + 49728^2 .

It is not an unprimeable number, because it can be changed into a prime (3805416001) 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 47 ways as a sum of consecutive naturals, for example, 1222446 + ... + 1225554.

Almost surely, 2^3805416000 is an apocalyptic number.

3805416000 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 3805416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7208992440).

3805416000 is an abundant number, since it is smaller than the sum of its proper divisors (10612568880).

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

3805416000 is a wasteful number, since it uses less digits than its factorization.

3805416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3805416000 is about 61688.0539488806. The cubic root of 3805416000 is about 1561.2317687625.

The spelling of 3805416000 in words is "three billion, eight hundred five million, four hundred sixteen thousand".