3998992800 has 144 divisors (see below), whose sum is σ = 14200153632. Its totient is φ = 969446400.

The previous prime is 3998992783. The next prime is 3998992817. The reversal of 3998992800 is 82998993.

It is an interprime number because it is at equal distance from previous prime (3998992783) and next prime (3998992817).

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 23 ways as a sum of consecutive naturals, for example, 49339 + ... + 102138.

It is an arithmetic number, because the mean of its divisors is an integer number (98612178).

Almost surely, 2^3998992800 is an apocalyptic number.

3998992800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3998992800 is an abundant number, since it is smaller than the sum of its proper divisors (10201160832).

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

3998992800 is a wasteful number, since it uses less digits than its factorization.

3998992800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151511 (or 151498 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 57.

The square root of 3998992800 is about 63237.5900869095. The cubic root of 3998992800 is about 1587.2678049221.

The spelling of 3998992800 in words is "three billion, nine hundred ninety-eight million, nine hundred ninety-two thousand, eight hundred".