3998233008 has 480 divisors, whose sum is σ = 14776832000. Its totient is φ = 1033845120.

The previous prime is 3998232961. The next prime is 3998233021. The reversal of 3998233008 is 8003328993.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17929185 + ... + 17929407.

Almost surely, 2^3998233008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3998233008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388416000).

3998233008 is an abundant number, since it is smaller than the sum of its proper divisors (10778598992).

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

3998233008 is a wasteful number, since it uses less digits than its factorization.

3998233008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3998233008 is about 63231.5823619811. The cubic root of 3998233008 is about 1587.1672737945.

The spelling of 3998233008 in words is "three billion, nine hundred ninety-eight million, two hundred thirty-three thousand, eight".