3992329258632 has 512 divisors, whose sum is σ = 13851681177600. Its totient is φ = 1048017484800.

The previous prime is 3992329258529. The next prime is 3992329258633. The reversal of 3992329258632 is 2368529232993.

3992329258632 is a `hidden beast` number, since 3 + 9 + 9 + 23 + 29 + 2 + 586 + 3 + 2 = 666.

It is a super-2 number, since 2×3992329258632² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3992329258632.

It is not an unprimeable number, because it can be changed into a prime (3992329258633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37599457 + ... + 37705487.

It is an arithmetic number, because the mean of its divisors is an integer number (27054064800).

Almost surely, 2^{3992329258632} 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 3992329258632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6925840588800).

3992329258632 is an abundant number, since it is smaller than the sum of its proper divisors (9859351918968).

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

3992329258632 is a wasteful number, since it uses less digits than its factorization.

3992329258632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106146 (or 106136 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 63.

The spelling of 3992329258632 in words is "three trillion, nine hundred ninety-two billion, three hundred twenty-nine million, two hundred fifty-eight thousand, six hundred thirty-two".