3998131200 has 792 divisors, whose sum is σ = 17053180352. Its totient is φ = 875888640.

The previous prime is 3998131199. The next prime is 3998131219. The reversal of 3998131200 is 21318993.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 59673567 + ... + 59673633.

Almost surely, 2^3998131200 is an apocalyptic number.

3998131200 is a gapful number since it is divisible by the number (30) 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 3998131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8526590176).

3998131200 is an abundant number, since it is smaller than the sum of its proper divisors (13055049152).

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

3998131200 is a wasteful number, since it uses less digits than its factorization.

3998131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3998131200 is about 63230.7773161140. Note that the first 3 decimals coincide. The cubic root of 3998131200 is about 1587.1538022020.

The spelling of 3998131200 in words is "three billion, nine hundred ninety-eight million, one hundred thirty-one thousand, two hundred".