3988753960 has 64 divisors (see below), whose sum is σ = 9500198400. Its totient is φ = 1504640256.

The previous prime is 3988753927. The next prime is 3988753963. The reversal of 3988753960 is 693578893.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 3988753895 and 3988753904.

It is not an unprimeable number, because it can be changed into a prime (3988753963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9897 + ... + 89863.

It is an arithmetic number, because the mean of its divisors is an integer number (148440600).

Almost surely, 2^3988753960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3988753960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750099200).

3988753960 is an abundant number, since it is smaller than the sum of its proper divisors (5511444440).

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

3988753960 is a wasteful number, since it uses less digits than its factorization.

3988753960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80050 (or 80046 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The square root of 3988753960 is about 63156.5828714632. The cubic root of 3988753960 is about 1585.9119909479.

The spelling of 3988753960 in words is "three billion, nine hundred eighty-eight million, seven hundred fifty-three thousand, nine hundred sixty".