3114300960000 has 900 divisors, whose sum is σ = 11889193868244. Its totient is φ = 810086400000.

The previous prime is 3114300959977. The next prime is 3114300960037. The reversal of 3114300960000 is 690034113.

3114300960000 is a `hidden beast` number, since 3 + 11 + 43 + 0 + 0 + 9 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 2996942644224 + 117358315776 = 1731168^2 + 342576^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 531357070 + ... + 531362930.

Almost surely, 2^{3114300960000} is an apocalyptic number.

3114300960000 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 3114300960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5944596934122).

3114300960000 is an abundant number, since it is smaller than the sum of its proper divisors (8774892908244).

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

3114300960000 is an frugal number, since it uses more digits than its factorization.

3114300960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5950 (or 5912 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 3114300960000 its reverse (690034113), we get a palindrome (3114990994113).

The spelling of 3114300960000 in words is "three trillion, one hundred fourteen billion, three hundred million, nine hundred sixty thousand".