3966000992 has 96 divisors (see below), whose sum is σ = 8577721152. Its totient is φ = 1797341184.

The previous prime is 3966000931. The next prime is 3966001057. The reversal of 3966000992 is 2990006693.

3966000992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2072228 + ... + 2074140.

It is an arithmetic number, because the mean of its divisors is an integer number (89351262).

Almost surely, 2^3966000992 is an apocalyptic number.

3966000992 is a gapful number since it is divisible by the number (32) 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 3966000992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288860576).

3966000992 is an abundant number, since it is smaller than the sum of its proper divisors (4611720160).

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

3966000992 is a wasteful number, since it uses less digits than its factorization.

3966000992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 44.

The square root of 3966000992 is about 62976.1938513277. The cubic root of 3966000992 is about 1582.8907438056.

The spelling of 3966000992 in words is "three billion, nine hundred sixty-six million, nine hundred ninety-two", and thus it is an aban number.