3988512000 has 432 divisors, whose sum is σ = 15668976960. Its totient is φ = 966144000.

The previous prime is 3988511957. The next prime is 3988512019. The reversal of 3988512000 is 2158893.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3167371 + ... + 3168629.

It is an arithmetic number, because the mean of its divisors is an integer number (36270780).

Almost surely, 2^3988512000 is an apocalyptic number.

3988512000 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 3988512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7834488480).

3988512000 is an abundant number, since it is smaller than the sum of its proper divisors (11680464960).

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

3988512000 is a wasteful number, since it uses less digits than its factorization.

3988512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 3988512000 is about 63154.6672859576. The cubic root of 3988512000 is about 1585.8799228695.

The spelling of 3988512000 in words is "three billion, nine hundred eighty-eight million, five hundred twelve thousand".