3998448993 has 96 divisors (see below), whose sum is σ = 6986649600. Its totient is φ = 1989187200.

The previous prime is 3998448989. The next prime is 3998449009.

3998448993 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3998448993 - 2² = 3998448989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3998448953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6674908 + ... + 6675506.

It is an arithmetic number, because the mean of its divisors is an integer number (72777600).

Almost surely, 2^3998448993 is an apocalyptic number.

3998448993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3998448993 is a deficient number, since it is larger than the sum of its proper divisors (2988200607).

3998448993 is a wasteful number, since it uses less digits than its factorization.

3998448993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 728 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 66.

The square root of 3998448993 is about 63233.2902275376. The cubic root of 3998448993 is about 1587.1958529319.

The spelling of 3998448993 in words is "three billion, nine hundred ninety-eight million, four hundred forty-eight thousand, nine hundred ninety-three".