3983629456 has 45 divisors (see below), whose sum is σ = 7990989753. Its totient is φ = 1923775680.

The previous prime is 3983629453. The next prime is 3983629469. The reversal of 3983629456 is 6549263893.

The square root of 3983629456 is 63116.

It is a perfect power (a square), and thus also a powerful number.

3983629456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3239431056 + 744198400 = 56916^2 + 27280^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3983629397 and 3983629406.

It is not an unprimeable number, because it can be changed into a prime (3983629451) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7826130 + ... + 7826638.

Almost surely, 2^3983629456 is an apocalyptic number.

3983629456 is the 63116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3983629456

3983629456 is an abundant number, since it is smaller than the sum of its proper divisors (4007360297).

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

3983629456 is an frugal number, since it uses more digits than its factorization.

3983629456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 542 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 55.

The cubic root of 3983629456 is about 1585.2325393974.

The spelling of 3983629456 in words is "three billion, nine hundred eighty-three million, six hundred twenty-nine thousand, four hundred fifty-six".