3106945314000 has 960 divisors, whose sum is σ = 12230845675776. Its totient is φ = 734595840000.

The previous prime is 3106945313999. The next prime is 3106945314023. The reversal of 3106945314000 is 4135496013.

3106945314000 is a `hidden beast` number, since 3 + 1 + 0 + 69 + 453 + 140 + 0 + 0 = 666.

3106945314000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 982276419 + ... + 982279581.

Almost surely, 2^{3106945314000} is an apocalyptic number.

3106945314000 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 3106945314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115422837888).

3106945314000 is an abundant number, since it is smaller than the sum of its proper divisors (9123900361776).

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

3106945314000 is a wasteful number, since it uses less digits than its factorization.

3106945314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 3106945314000 in words is "three trillion, one hundred six billion, nine hundred forty-five million, three hundred fourteen thousand".