3998304000 has 216 divisors, whose sum is σ = 14388100272. Its totient is φ = 1066137600.

The previous prime is 3998303963. The next prime is 3998304029. The reversal of 3998304000 is 4038993.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281059 + ... + 294941.

Almost surely, 2^3998304000 is an apocalyptic number.

3998304000 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 3998304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7194050136).

3998304000 is an abundant number, since it is smaller than the sum of its proper divisors (10389796272).

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

3998304000 is a wasteful number, since it uses less digits than its factorization.

3998304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13920 (or 13893 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3998304000 is about 63232.1437245330. The cubic root of 3998304000 is about 1587.1766675702.

The spelling of 3998304000 in words is "three billion, nine hundred ninety-eight million, three hundred four thousand".