3146068728000 has 1792 divisors, whose sum is σ = 13142640476160. Its totient is φ = 735989760000.

The previous prime is 3146068727981. The next prime is 3146068728029. The reversal of 3146068728000 is 8278606413.

3146068728000 is a `hidden beast` number, since 3 + 14 + 606 + 8 + 7 + 28 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8912375824 + ... + 8912376176.

Almost surely, 2^{3146068728000} is an apocalyptic number.

3146068728000 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 3146068728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6571320238080).

3146068728000 is an abundant number, since it is smaller than the sum of its proper divisors (9996571748160).

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

3146068728000 is a wasteful number, since it uses less digits than its factorization.

3146068728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 3146068728000 in words is "three trillion, one hundred forty-six billion, sixty-eight million, seven hundred twenty-eight thousand".