3992112864 has 144 divisors (see below), whose sum is σ = 11865934080. Its totient is φ = 1320209280.

The previous prime is 3992112797. The next prime is 3992112877. The reversal of 3992112864 is 4682112993.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 1016697 + ... + 1020615.

It is an arithmetic number, because the mean of its divisors is an integer number (82402320).

Almost surely, 2^3992112864 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 3992112864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932967040).

3992112864 is an abundant number, since it is smaller than the sum of its proper divisors (7873821216).

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

3992112864 is a wasteful number, since it uses less digits than its factorization.

3992112864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4055 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 3992112864 is about 63183.1691512859. The cubic root of 3992112864 is about 1586.3570281388.

The spelling of 3992112864 in words is "three billion, nine hundred ninety-two million, one hundred twelve thousand, eight hundred sixty-four".