3959884800 has 528 divisors, whose sum is σ = 15442895520. Its totient is φ = 990904320.

The previous prime is 3959884787. The next prime is 3959884807. The reversal of 3959884800 is 84889593.

It is a happy number.

3959884800 is a `hidden beast` number, since 3 + 9 + 598 + 8 + 48 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3959884807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11750232 + ... + 11750568.

Almost surely, 2^3959884800 is an apocalyptic number.

3959884800 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 3959884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721447760).

3959884800 is an abundant number, since it is smaller than the sum of its proper divisors (11483010720).

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

3959884800 is a wasteful number, since it uses less digits than its factorization.

3959884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 3959884800 is about 62927.6155594664. The cubic root of 3959884800 is about 1582.0766370463.

The spelling of 3959884800 in words is "three billion, nine hundred fifty-nine million, eight hundred eighty-four thousand, eight hundred".