3002065985600 has 672 divisors, whose sum is σ = 8830824291072. Its totient is φ = 992051200000.

The previous prime is 3002065985599. The next prime is 3002065985623. The reversal of 3002065985600 is 65895602003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1238985989 + ... + 1238988411.

It is an arithmetic number, because the mean of its divisors is an integer number (13141107576).

Almost surely, 2^{3002065985600} 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 3002065985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415412145536).

3002065985600 is an abundant number, since it is smaller than the sum of its proper divisors (5828758305472).

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

3002065985600 is a wasteful number, since it uses less digits than its factorization.

3002065985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 3002065985600 in words is "three trillion, two billion, sixty-five million, nine hundred eighty-five thousand, six hundred".