3189384806400 has 1728 divisors, whose sum is σ = 13106311142400. Its totient is φ = 755352207360.

The previous prime is 3189384806359. The next prime is 3189384806537. The reversal of 3189384806400 is 46084839813.

3189384806400 is a `hidden beast` number, since 3 + 1 + 89 + 3 + 84 + 80 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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, 54057369571 + ... + 54057369629.

It is an arithmetic number, because the mean of its divisors is an integer number (7584670800).

Almost surely, 2^{3189384806400} is an apocalyptic number.

3189384806400 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 3189384806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6553155571200).

3189384806400 is an abundant number, since it is smaller than the sum of its proper divisors (9916926336000).

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

3189384806400 is an equidigital number, since it uses as much as digits as its factorization.

3189384806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 3189384806400 in words is "three trillion, one hundred eighty-nine billion, three hundred eighty-four million, eight hundred six thousand, four hundred".