3988992000 has 624 divisors, whose sum is σ = 15732224352. Its totient is φ = 894566400.

The previous prime is 3988991989. The next prime is 3988992001. The reversal of 3988992000 is 2998893.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3988992001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75263974 + ... + 75264026.

It is an arithmetic number, because the mean of its divisors is an integer number (25211898).

Almost surely, 2^3988992000 is an apocalyptic number.

3988992000 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 3988992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7866112176).

3988992000 is an abundant number, since it is smaller than the sum of its proper divisors (11743232352).

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

3988992000 is an equidigital number, since it uses as much as digits as its factorization.

3988992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 3988992000 is about 63158.4673658251. The cubic root of 3988992000 is about 1585.9435382251.

The spelling of 3988992000 in words is "three billion, nine hundred eighty-eight million, nine hundred ninety-two thousand".