3996269229312 has 432 divisors, whose sum is σ = 12178053888000. Its totient is φ = 1306653161472.

The previous prime is 3996269229307. The next prime is 3996269229383. The reversal of 3996269229312 is 2139229626993.

3996269229312 is a `hidden beast` number, since 3 + 9 + 96 + 2 + 6 + 9 + 229 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×3996269229312³ (a number of 39 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3996269229312.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2271897489 + ... + 2271899247.

Almost surely, 2^{3996269229312} is an apocalyptic number.

3996269229312 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 3996269229312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6089026944000).

3996269229312 is an abundant number, since it is smaller than the sum of its proper divisors (8181784658688).

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

3996269229312 is an equidigital number, since it uses as much as digits as its factorization.

3996269229312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2442 counting only the distinct ones).

The product of its digits is 34012224, while the sum is 63.

The spelling of 3996269229312 in words is "three trillion, nine hundred ninety-six billion, two hundred sixty-nine million, two hundred twenty-nine thousand, three hundred twelve".