3988436760 has 576 divisors, whose sum is σ = 16992218880. Its totient is φ = 817413120.

The previous prime is 3988436743. The next prime is 3988436783. The reversal of 3988436760 is 676348893.

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 = 3988436697 and 3988436706.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 54636084 + ... + 54636156.

It is an arithmetic number, because the mean of its divisors is an integer number (29500380).

Almost surely, 2^3988436760 is an apocalyptic number.

3988436760 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 3988436760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8496109440).

3988436760 is an abundant number, since it is smaller than the sum of its proper divisors (13003782120).

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

3988436760 is a wasteful number, since it uses less digits than its factorization.

3988436760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3988436760 is about 63154.0716027082. The cubic root of 3988436760 is about 1585.8699506997.

The spelling of 3988436760 in words is "three billion, nine hundred eighty-eight million, four hundred thirty-six thousand, seven hundred sixty".