3998244096 has 432 divisors, whose sum is σ = 14856511488. Its totient is φ = 1003622400.

The previous prime is 3998244037. The next prime is 3998244149. The reversal of 3998244096 is 6904428993.

3998244096 is a `hidden beast` number, since 39 + 9 + 82 + 440 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5499285 + ... + 5500011.

Almost surely, 2^3998244096 is an apocalyptic number.

3998244096 is a gapful number since it is divisible by the number (36) 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 3998244096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7428255744).

3998244096 is an abundant number, since it is smaller than the sum of its proper divisors (10858267392).

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

3998244096 is a wasteful number, since it uses less digits than its factorization.

3998244096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 3998244096 is about 63231.6700396249. The cubic root of 3998244096 is about 1587.1687409838.

The spelling of 3998244096 in words is "three billion, nine hundred ninety-eight million, two hundred forty-four thousand, ninety-six".