3965813992 has 64 divisors (see below), whose sum is σ = 9011589120. Its totient is φ = 1597252608.

The previous prime is 3965813927. The next prime is 3965813993. The reversal of 3965813992 is 2993185693.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3965813993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717913 + ... + 723415.

It is an arithmetic number, because the mean of its divisors is an integer number (140806080).

Almost surely, 2^3965813992 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 3965813992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505794560).

3965813992 is an abundant number, since it is smaller than the sum of its proper divisors (5045775128).

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

3965813992 is a wasteful number, since it uses less digits than its factorization.

3965813992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6290 (or 6286 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 55.

The square root of 3965813992 is about 62974.7091458150. The cubic root of 3965813992 is about 1582.8658652422.

The spelling of 3965813992 in words is "three billion, nine hundred sixty-five million, eight hundred thirteen thousand, nine hundred ninety-two".