3241612224 has 392 divisors, whose sum is σ = 10534089168. Its totient is φ = 985374720.

The previous prime is 3241612181. The next prime is 3241612229. The reversal of 3241612224 is 4222161423.

3241612224 is a `hidden beast` number, since 3 + 2 + 41 + 612 + 2 + 2 + 4 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3241612229) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 48382239 + ... + 48382305.

Almost surely, 2^3241612224 is an apocalyptic number.

3241612224 is a gapful number since it is divisible by the number (34) 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 3241612224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267044584).

3241612224 is an abundant number, since it is smaller than the sum of its proper divisors (7292476944).

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

3241612224 is an equidigital number, since it uses as much as digits as its factorization.

3241612224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 3241612224 is about 56935.1580659964. The cubic root of 3241612224 is about 1479.9726413253.

Adding to 3241612224 its reverse (4222161423), we get a palindrome (7463773647).

The spelling of 3241612224 in words is "three billion, two hundred forty-one million, six hundred twelve thousand, two hundred twenty-four".