3988706760 has 256 divisors, whose sum is σ = 13863168000. Its totient is φ = 1018967040.

The previous prime is 3988706723. The next prime is 3988706773. The reversal of 3988706760 is 676078893.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3988706697 and 3988706706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3648774 + ... + 3649866.

It is an arithmetic number, because the mean of its divisors is an integer number (54153000).

Almost surely, 2^3988706760 is an apocalyptic number.

3988706760 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 3988706760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6931584000).

3988706760 is an abundant number, since it is smaller than the sum of its proper divisors (9874461240).

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

3988706760 is a wasteful number, since it uses less digits than its factorization.

3988706760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 3988706760 is about 63156.2091959294. The cubic root of 3988706760 is about 1585.9057354153.

The spelling of 3988706760 in words is "three billion, nine hundred eighty-eight million, seven hundred six thousand, seven hundred sixty".