3921204224 has 132 divisors (see below), whose sum is σ = 9656820756. Its totient is φ = 1581318144.

The previous prime is 3921204163. The next prime is 3921204227. The reversal of 3921204224 is 4224021293.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1536640000 + 2384564224 = 39200^2 + 48832^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3921204227) 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 11 ways as a sum of consecutive naturals, for example, 850694 + ... + 855290.

It is an arithmetic number, because the mean of its divisors is an integer number (73157733).

Almost surely, 2^3921204224 is an apocalyptic number.

3921204224 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 3921204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828410378).

3921204224 is an abundant number, since it is smaller than the sum of its proper divisors (5735616532).

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

3921204224 is a wasteful number, since it uses less digits than its factorization.

3921204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648 (or 4623 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 3921204224 is about 62619.5195126887. The cubic root of 3921204224 is about 1576.9084749866.

The spelling of 3921204224 in words is "three billion, nine hundred twenty-one million, two hundred four thousand, two hundred twenty-four".