3998056608 has 864 divisors, whose sum is σ = 15894627840. Its totient is φ = 940584960.

The previous prime is 3998056603. The next prime is 3998056613. The reversal of 3998056608 is 8066508993.

It is an interprime number because it is at equal distance from previous prime (3998056603) and next prime (3998056613).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3998056603) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 108055566 + ... + 108055602.

It is an arithmetic number, because the mean of its divisors is an integer number (18396560).

Almost surely, 2^3998056608 is an apocalyptic number.

3998056608 is a gapful number since it is divisible by the number (38) 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 3998056608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947313920).

3998056608 is an abundant number, since it is smaller than the sum of its proper divisors (11896571232).

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

3998056608 is a wasteful number, since it uses less digits than its factorization.

3998056608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 3998056608 is about 63230.1874740222. The cubic root of 3998056608 is about 1587.1439317812.

The spelling of 3998056608 in words is "three billion, nine hundred ninety-eight million, fifty-six thousand, six hundred eight".