3999196800 has 576 divisors, whose sum is σ = 15307874400. Its totient is φ = 1030164480.

The previous prime is 3999196769. The next prime is 3999196813. The reversal of 3999196800 is 86919993.

3999196800 is a `hidden beast` number, since 399 + 91 + 96 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 71 ways as a sum of consecutive naturals, for example, 28771131 + ... + 28771269.

Almost surely, 2^3999196800 is an apocalyptic number.

3999196800 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 3999196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7653937200).

3999196800 is an abundant number, since it is smaller than the sum of its proper divisors (11308677600).

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

3999196800 is a wasteful number, since it uses less digits than its factorization.

3999196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The square root of 3999196800 is about 63239.2030310313. The cubic root of 3999196800 is about 1587.2947948120.

The spelling of 3999196800 in words is "three billion, nine hundred ninety-nine million, one hundred ninety-six thousand, eight hundred".