3084341395200 has 648 divisors, whose sum is σ = 11209710032640. Its totient is φ = 746307993600.

The previous prime is 3084341395189. The next prime is 3084341395207. The reversal of 3084341395200 is 25931434803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3084341395207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 191435145 + ... + 191451255.

Almost surely, 2^{3084341395200} is an apocalyptic number.

3084341395200 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 3084341395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604855016320).

3084341395200 is an abundant number, since it is smaller than the sum of its proper divisors (8125368637440).

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

3084341395200 is a wasteful number, since it uses less digits than its factorization.

3084341395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16225 (or 16193 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 3084341395200 in words is "three trillion, eighty-four billion, three hundred forty-one million, three hundred ninety-five thousand, two hundred".