3187984800 has 576 divisors, whose sum is σ = 13943107584. Its totient is φ = 611020800.

The previous prime is 3187984781. The next prime is 3187984829. The reversal of 3187984800 is 84897813.

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 3187984800.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2401737 + ... + 2403063.

It is an arithmetic number, because the mean of its divisors is an integer number (24206784).

Almost surely, 2^3187984800 is an apocalyptic number.

3187984800 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 3187984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6971553792).

3187984800 is an abundant number, since it is smaller than the sum of its proper divisors (10755122784).

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

3187984800 is a wasteful number, since it uses less digits than its factorization.

3187984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 3187984800 is about 56462.2422509060. The cubic root of 3187984800 is about 1471.7659373032.

The spelling of 3187984800 in words is "three billion, one hundred eighty-seven million, nine hundred eighty-four thousand, eight hundred".