3965807680 has 224 divisors, whose sum is σ = 10481218560. Its totient is φ = 1423319040.

The previous prime is 3965807647. The next prime is 3965807687. The reversal of 3965807680 is 867085693.

It is not an unprimeable number, because it can be changed into a prime (3965807687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9989242 + ... + 9989638.

Almost surely, 2^3965807680 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 3965807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5240609280).

3965807680 is an abundant number, since it is smaller than the sum of its proper divisors (6515410880).

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

3965807680 is a wasteful number, since it uses less digits than its factorization.

3965807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The square root of 3965807680 is about 62974.6590304386. The cubic root of 3965807680 is about 1582.8650254773.

The spelling of 3965807680 in words is "three billion, nine hundred sixty-five million, eight hundred seven thousand, six hundred eighty".