3984627344 has 60 divisors (see below), whose sum is σ = 7962002676. Its totient is φ = 1931045376.

The previous prime is 3984627343. The next prime is 3984627349. The reversal of 3984627344 is 4437264893.

It can be written as a sum of positive squares in 6 ways, for example, as 875449744 + 3109177600 = 29588^2 + 55760^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3984627292 and 3984627301.

It is not an unprimeable number, because it can be changed into a prime (3984627343) 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, 23032442 + ... + 23032614.

Almost surely, 2^3984627344 is an apocalyptic number.

It is an amenable number.

3984627344 is a deficient number, since it is larger than the sum of its proper divisors (3977375332).

3984627344 is a wasteful number, since it uses less digits than its factorization.

3984627344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 385 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 50.

The square root of 3984627344 is about 63123.9046954480. The cubic root of 3984627344 is about 1585.3648937808.

The spelling of 3984627344 in words is "three billion, nine hundred eighty-four million, six hundred twenty-seven thousand, three hundred forty-four".