3820511232 has 224 divisors, whose sum is σ = 11827215360. Its totient is φ = 1216512000.

The previous prime is 3820511221. The next prime is 3820511237. The reversal of 3820511232 is 2321150283.

3820511232 is a `hidden beast` number, since 382 + 0 + 51 + 1 + 232 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3820511196 and 3820511205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3820511237) 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 15 ways as a sum of consecutive naturals, for example, 5086857 + ... + 5087607.

Almost surely, 2^3820511232 is an apocalyptic number.

3820511232 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 3820511232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913607680).

3820511232 is an abundant number, since it is smaller than the sum of its proper divisors (8006704128).

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

3820511232 is an equidigital number, since it uses as much as digits as its factorization.

3820511232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 779 counting only the distinct ones).

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

The square root of 3820511232 is about 61810.2841928429. The cubic root of 3820511232 is about 1563.2933972742.

The spelling of 3820511232 in words is "three billion, eight hundred twenty million, five hundred eleven thousand, two hundred thirty-two".