3991996800 has 288 divisors, whose sum is σ = 15540534360. Its totient is φ = 967680000.

The previous prime is 3991996793. The next prime is 3991996823. The reversal of 3991996800 is 86991993.

3991996800 is a `hidden beast` number, since 399 + 199 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310500 + ... + 323100.

Almost surely, 2^3991996800 is an apocalyptic number.

3991996800 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 3991996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7770267180).

3991996800 is an abundant number, since it is smaller than the sum of its proper divisors (11548537560).

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

3991996800 is a wasteful number, since it uses less digits than its factorization.

3991996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12642 (or 12622 counting only the distinct ones).

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

The square root of 3991996800 is about 63182.2506721627. The cubic root of 3991996800 is about 1586.3416544313.

The spelling of 3991996800 in words is "three billion, nine hundred ninety-one million, nine hundred ninety-six thousand, eight hundred".