3812185728 has 384 divisors, whose sum is σ = 12498753600. Its totient is φ = 1142968320.

The previous prime is 3812185697. The next prime is 3812185753. The reversal of 3812185728 is 8275812183.

3812185728 is a `hidden beast` number, since 381 + 218 + 57 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35627851 + ... + 35627957.

Almost surely, 2^3812185728 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 3812185728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249376800).

3812185728 is an abundant number, since it is smaller than the sum of its proper divisors (8686567872).

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

3812185728 is a wasteful number, since it uses less digits than its factorization.

3812185728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 186 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 3812185728 is about 61742.9002234265. The cubic root of 3812185728 is about 1562.1570161135.

The spelling of 3812185728 in words is "three billion, eight hundred twelve million, one hundred eighty-five thousand, seven hundred twenty-eight".