3992922964352 has 256 divisors, whose sum is σ = 9473497313280. Its totient is φ = 1640380170240.

The previous prime is 3992922964339. The next prime is 3992922964379. The reversal of 3992922964352 is 2534692292993.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1525762148 + ... + 1525764764.

It is an arithmetic number, because the mean of its divisors is an integer number (37005848880).

Almost surely, 2^{3992922964352} is an apocalyptic number.

3992922964352 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 3992922964352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736748656640).

3992922964352 is an abundant number, since it is smaller than the sum of its proper divisors (5480574348928).

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

3992922964352 is a wasteful number, since it uses less digits than its factorization.

3992922964352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3157 counting only the distinct ones).

The product of its digits is 113374080, while the sum is 65.

The spelling of 3992922964352 in words is "three trillion, nine hundred ninety-two billion, nine hundred twenty-two million, nine hundred sixty-four thousand, three hundred fifty-two".