3805304832 has 480 divisors, whose sum is σ = 13556743200. Its totient is φ = 1040449536.

The previous prime is 3805304813. The next prime is 3805304843. The reversal of 3805304832 is 2384035083.

3805304832 is a `hidden beast` number, since 3 + 80 + 530 + 48 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33675208 + ... + 33675320.

It is an arithmetic number, because the mean of its divisors is an integer number (28243215).

Almost surely, 2^3805304832 is an apocalyptic number.

3805304832 is a gapful number since it is divisible by the number (32) 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 3805304832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778371600).

3805304832 is an abundant number, since it is smaller than the sum of its proper divisors (9751438368).

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

3805304832 is a wasteful number, since it uses less digits than its factorization.

3805304832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3805304832 is about 61687.1528926405. The cubic root of 3805304832 is about 1561.2165658076.

The spelling of 3805304832 in words is "three billion, eight hundred five million, three hundred four thousand, eight hundred thirty-two".