3029867946000 has 1440 divisors, whose sum is σ = 12991948819200. Its totient is φ = 644400230400.

The previous prime is 3029867945999. The next prime is 3029867946013. The reversal of 3029867946000 is 6497689203.

It is a happy number.

3029867946000 is a `hidden beast` number, since 3 + 0 + 29 + 8 + 6 + 7 + 9 + 4 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2683673436 + ... + 2683674564.

It is an arithmetic number, because the mean of its divisors is an integer number (9022186680).

Almost surely, 2^{3029867946000} is an apocalyptic number.

3029867946000 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 3029867946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495974409600).

3029867946000 is an abundant number, since it is smaller than the sum of its proper divisors (9962080873200).

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

3029867946000 is a wasteful number, since it uses less digits than its factorization.

3029867946000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 3029867946000 in words is "three trillion, twenty-nine billion, eight hundred sixty-seven million, nine hundred forty-six thousand".