3998924844096 has 1008 divisors, whose sum is σ = 13939631516160. Its totient is φ = 1007720663040.

The previous prime is 3998924844053. The next prime is 3998924844139. The reversal of 3998924844096 is 6904484298993.

It is an interprime number because it is at equal distance from previous prime (3998924844053) and next prime (3998924844139).

It is a super-3 number, since 3×3998924844096³ (a number of 39 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 50619301785 + ... + 50619301863.

It is an arithmetic number, because the mean of its divisors is an integer number (13828999520).

Almost surely, 2^{3998924844096} 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 3998924844096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969815758080).

3998924844096 is an abundant number, since it is smaller than the sum of its proper divisors (9940706672064).

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

3998924844096 is an equidigital number, since it uses as much as digits as its factorization.

3998924844096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 967458816, while the sum is 75.

The spelling of 3998924844096 in words is "three trillion, nine hundred ninety-eight billion, nine hundred twenty-four million, eight hundred forty-four thousand, ninety-six".