3812821632 has 224 divisors, whose sum is σ = 11789644500. Its totient is φ = 1226244096.

The previous prime is 3812821601. The next prime is 3812821633. The reversal of 3812821632 is 2361282183.

3812821632 is a `hidden beast` number, since 3 + 8 + 12 + 8 + 2 + 1 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3426463296 + 386358336 = 58536^2 + 19656^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3812821633) 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 27 ways as a sum of consecutive naturals, for example, 2705344 + ... + 2706752.

Almost surely, 2^3812821632 is an apocalyptic number.

3812821632 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 3812821632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894822250).

3812821632 is an abundant number, since it is smaller than the sum of its proper divisors (7976822868).

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

3812821632 is an equidigital number, since it uses as much as digits as its factorization.

3812821632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1443 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3812821632 is about 61748.0496210204. The cubic root of 3812821632 is about 1562.2438715062.

The spelling of 3812821632 in words is "three billion, eight hundred twelve million, eight hundred twenty-one thousand, six hundred thirty-two".