3145034233200 has 240 divisors, whose sum is σ = 10406747417600. Its totient is φ = 811062374400.

The previous prime is 3145034233183. The next prime is 3145034233247. The reversal of 3145034233200 is 23324305413.

3145034233200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55362411 + ... + 55419189.

Almost surely, 2^{3145034233200} is an apocalyptic number.

3145034233200 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 3145034233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5203373708800).

3145034233200 is an abundant number, since it is smaller than the sum of its proper divisors (7261713184400).

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

3145034233200 is a wasteful number, since it uses less digits than its factorization.

3145034233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58320 (or 58309 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 3145034233200 its reverse (23324305413), we get a palindrome (3168358538613).

The spelling of 3145034233200 in words is "three trillion, one hundred forty-five billion, thirty-four million, two hundred thirty-three thousand, two hundred".