3982898318399 has 144 divisors (see below), whose sum is σ = 5521678389216. Its totient is φ = 2839521484800.

The previous prime is 3982898318297. The next prime is 3982898318521. The reversal of 3982898318399 is 9938138982893.

It is a Cunningham number, because it is equal to 1995720²-1.

It is not a de Polignac number, because 3982898318399 - 2⁸ = 3982898318143 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3982898318699) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8715313379 + ... + 8715313835.

It is an arithmetic number, because the mean of its divisors is an integer number (38344988814).

Almost surely, 2^{3982898318399} is an apocalyptic number.

3982898318399 is a deficient number, since it is larger than the sum of its proper divisors (1538780070817).

3982898318399 is a wasteful number, since it uses less digits than its factorization.

3982898318399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1126 counting only the distinct ones).

The product of its digits is 1451188224, while the sum is 80.

The spelling of 3982898318399 in words is "three trillion, nine hundred eighty-two billion, eight hundred ninety-eight million, three hundred eighteen thousand, three hundred ninety-nine".