3988776960 has 576 divisors, whose sum is σ = 16456003200. Its totient is φ = 907739136.

The previous prime is 3988776937. The next prime is 3988777019. The reversal of 3988776960 is 696778893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17418126 + ... + 17418354.

It is an arithmetic number, because the mean of its divisors is an integer number (28569450).

Almost surely, 2^3988776960 is an apocalyptic number.

3988776960 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 3988776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228001600).

3988776960 is an abundant number, since it is smaller than the sum of its proper divisors (12467226240).

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

3988776960 is an equidigital number, since it uses as much as digits as its factorization.

3988776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The square root of 3988776960 is about 63156.7649583162. The cubic root of 3988776960 is about 1585.9150391768.

The spelling of 3988776960 in words is "three billion, nine hundred eighty-eight million, seven hundred seventy-six thousand, nine hundred sixty".