3046006920320 has 1024 divisors, whose sum is σ = 9571857039360. Its totient is φ = 901289410560.

The previous prime is 3046006920239. The next prime is 3046006920323. The reversal of 3046006920320 is 230296006403.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (3046006920323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6578848409 + ... + 6578848871.

It is an arithmetic number, because the mean of its divisors is an integer number (9347516640).

Almost surely, 2^{3046006920320} 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 3046006920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785928519680).

3046006920320 is an abundant number, since it is smaller than the sum of its proper divisors (6525850119040).

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

3046006920320 is a wasteful number, since it uses less digits than its factorization.

3046006920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 3046006920320 in words is "three trillion, forty-six billion, six million, nine hundred twenty thousand, three hundred twenty".