3997660800 has 768 divisors, whose sum is σ = 16513228800. Its totient is φ = 829440000.

The previous prime is 3997660757. The next prime is 3997660837. The reversal of 3997660800 is 80667993.

It is a happy number.

3997660800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3997660800.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39580750 + ... + 39580850.

It is an arithmetic number, because the mean of its divisors is an integer number (21501600).

Almost surely, 2^3997660800 is an apocalyptic number.

3997660800 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 3997660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8256614400).

3997660800 is an abundant number, since it is smaller than the sum of its proper divisors (12515568000).

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

3997660800 is a wasteful number, since it uses less digits than its factorization.

3997660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 3997660800 is about 63227.0574991435. The cubic root of 3997660800 is about 1587.0915542505.

The spelling of 3997660800 in words is "three billion, nine hundred ninety-seven million, six hundred sixty thousand, eight hundred".