3988435200 has 216 divisors, whose sum is σ = 13589296896. Its totient is φ = 1029120000.

The previous prime is 3988435193. The next prime is 3988435211. The reversal of 3988435200 is 25348893.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591850 + ... + 598550.

Almost surely, 2^3988435200 is an apocalyptic number.

3988435200 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 3988435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794648448).

3988435200 is an abundant number, since it is smaller than the sum of its proper divisors (9600861696).

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

3988435200 is a wasteful number, since it uses less digits than its factorization.

3988435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6761 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3988435200 is about 63154.0592519594. The cubic root of 3988435200 is about 1585.8697439389.

The spelling of 3988435200 in words is "three billion, nine hundred eighty-eight million, four hundred thirty-five thousand, two hundred".