3982259713600 has 189 divisors, whose sum is σ = 11400259282113. Its totient is φ = 1365154613760.

The previous prime is 3982259713513. The next prime is 3982259713657. The reversal of 3982259713600 is 63179522893.

The square root of 3982259713600 is 1995560.

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

3982259713600 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., 1433613496896 + 2548646216704 = 1197336^2 + 1596448^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 558753237 + ... + 558760363.

Almost surely, 2^{3982259713600} is an apocalyptic number.

3982259713600 is the 1995560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3982259713600

3982259713600 is an abundant number, since it is smaller than the sum of its proper divisors (7417999568513).

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

3982259713600 is an frugal number, since it uses more digits than its factorization.

3982259713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14290 (or 7141 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 3982259713600 in words is "three trillion, nine hundred eighty-two billion, two hundred fifty-nine million, seven hundred thirteen thousand, six hundred".