3821584536 has 320 divisors, whose sum is σ = 13448540160. Its totient is φ = 984960000.

The previous prime is 3821584519. The next prime is 3821584541. The reversal of 3821584536 is 6354851283.

3821584536 is a `hidden beast` number, since 38 + 2 + 1 + 5 + 84 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3821584491 and 3821584500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9529936 + ... + 9530336.

It is an arithmetic number, because the mean of its divisors is an integer number (42026688).

Almost surely, 2^3821584536 is an apocalyptic number.

3821584536 is a gapful number since it is divisible by the number (36) 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 3821584536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6724270080).

3821584536 is an abundant number, since it is smaller than the sum of its proper divisors (9626955624).

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

3821584536 is a wasteful number, since it uses less digits than its factorization.

3821584536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 615 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 3821584536 is about 61818.9658276487. The cubic root of 3821584536 is about 1563.4397766333.

The spelling of 3821584536 in words is "three billion, eight hundred twenty-one million, five hundred eighty-four thousand, five hundred thirty-six".