3984226624 has 112 divisors (see below), whose sum is σ = 9634118400. Its totient is φ = 1595842560.

The previous prime is 3984226621. The next prime is 3984226643. The reversal of 3984226624 is 4266224893.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984226621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1133029 + ... + 1136539.

Almost surely, 2^3984226624 is an apocalyptic number.

3984226624 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 3984226624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4817059200).

3984226624 is an abundant number, since it is smaller than the sum of its proper divisors (5649891776).

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

3984226624 is a wasteful number, since it uses less digits than its factorization.

3984226624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3686 counting only the distinct ones).

The product of its digits is 995328, while the sum is 46.

The square root of 3984226624 is about 63120.7305407661. The cubic root of 3984226624 is about 1585.3117471364.

It can be divided in two parts, 39842 and 26624, that added together give a palindrome (66466).

The spelling of 3984226624 in words is "three billion, nine hundred eighty-four million, two hundred twenty-six thousand, six hundred twenty-four".