3006448832000 has 160 divisors (see below), whose sum is σ = 7503465176064. Its totient is φ = 1201505280000.

The previous prime is 3006448831999. The next prime is 3006448832011. The reversal of 3006448832000 is 2388446003.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73643594 + ... + 73684406.

Almost surely, 2^{3006448832000} 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 3006448832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751732588032).

3006448832000 is an abundant number, since it is smaller than the sum of its proper divisors (4497016344064).

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

3006448832000 is an equidigital number, since it uses as much as digits as its factorization.

3006448832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41997 (or 41971 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 3006448832000 in words is "three trillion, six billion, four hundred forty-eight million, eight hundred thirty-two thousand".