3114300001000 has 256 divisors, whose sum is σ = 7493181696000. Its totient is φ = 1211186995200.

The previous prime is 3114300000991. The next prime is 3114300001009. The reversal of 3114300001000 is 1000034113.

It is an interprime number because it is at equal distance from previous prime (3114300000991) and next prime (3114300001009).

It is not an unprimeable number, because it can be changed into a prime (3114300001009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1490807956 + ... + 1490810044.

It is an arithmetic number, because the mean of its divisors is an integer number (29270241000).

Almost surely, 2^{3114300001000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114300001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746590848000).

3114300001000 is an abundant number, since it is smaller than the sum of its proper divisors (4378881695000).

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

3114300001000 is a wasteful number, since it uses less digits than its factorization.

3114300001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 3114300001000 its reverse (1000034113), we get a palindrome (3115300035113).

The spelling of 3114300001000 in words is "three trillion, one hundred fourteen billion, three hundred million, one thousand".