3042144310200 has 192 divisors, whose sum is σ = 9588788346720. Its totient is φ = 797644800000.

The previous prime is 3042144310193. The next prime is 3042144310207. The reversal of 3042144310200 is 20134412403.

It is an interprime number because it is at equal distance from previous prime (3042144310193) and next prime (3042144310207).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042144310207) 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, 109822752 + ... + 109850448.

Almost surely, 2^{3042144310200} is an apocalyptic number.

3042144310200 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 3042144310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794394173360).

3042144310200 is an abundant number, since it is smaller than the sum of its proper divisors (6546644036520).

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

3042144310200 is a wasteful number, since it uses less digits than its factorization.

3042144310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30778 (or 30769 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3042144310200 its reverse (20134412403), we get a palindrome (3062278722603).

The spelling of 3042144310200 in words is "three trillion, forty-two billion, one hundred forty-four million, three hundred ten thousand, two hundred".