3998308200 has 192 divisors, whose sum is σ = 13311112320. Its totient is φ = 989184000.

The previous prime is 3998308163. The next prime is 3998308207. The reversal of 3998308200 is 28038993.

It is not an unprimeable number, because it can be changed into a prime (3998308207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 721440 + ... + 726960.

It is an arithmetic number, because the mean of its divisors is an integer number (69328710).

Almost surely, 2^3998308200 is an apocalyptic number.

3998308200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3998308200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655556160).

3998308200 is an abundant number, since it is smaller than the sum of its proper divisors (9312804120).

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

3998308200 is a wasteful number, since it uses less digits than its factorization.

3998308200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 3998308200 is about 63232.1769354812. The cubic root of 3998308200 is about 1587.1772233175.

The spelling of 3998308200 in words is "three billion, nine hundred ninety-eight million, three hundred eight thousand, two hundred".