3114286189740 has 1152 divisors, whose sum is σ = 11766804940800. Its totient is φ = 657573396480.

The previous prime is 3114286189673. The next prime is 3114286189867. The reversal of 3114286189740 is 479816824113.

3114286189740 is a `hidden beast` number, since 3 + 1 + 14 + 2 + 8 + 618 + 9 + 7 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2849300634 + ... + 2849301726.

It is an arithmetic number, because the mean of its divisors is an integer number (10214240400).

Almost surely, 2^{3114286189740} is an apocalyptic number.

3114286189740 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 3114286189740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5883402470400).

3114286189740 is an abundant number, since it is smaller than the sum of its proper divisors (8652518751060).

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

3114286189740 is a wasteful number, since it uses less digits than its factorization.

3114286189740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 3114286189740 in words is "three trillion, one hundred fourteen billion, two hundred eighty-six million, one hundred eighty-nine thousand, seven hundred forty".