3996641960 has 128 divisors (see below), whose sum is σ = 9538452000. Its totient is φ = 1504935936.

The previous prime is 3996641951. The next prime is 3996642007. The reversal of 3996641960 is 691466993.

It is a Cunningham number, because it is equal to 63219²-1.

It can be written as a sum of positive squares in 16 ways, for example, as 239197156 + 3757444804 = 15466^2 + 61298^2 .

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 31 ways as a sum of consecutive naturals, for example, 9229904 + ... + 9230336.

Almost surely, 2^3996641960 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 3996641960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769226000).

3996641960 is an abundant number, since it is smaller than the sum of its proper divisors (5541810040).

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

3996641960 is a wasteful number, since it uses less digits than its factorization.

3996641960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 53.

The square root of 3996641960 is about 63218.9999920910. Note that the first 5 decimals coincide. The cubic root of 3996641960 is about 1586.9567145841.

The spelling of 3996641960 in words is "three billion, nine hundred ninety-six million, six hundred forty-one thousand, nine hundred sixty".