3002345004000 has 96 divisors (see below), whose sum is σ = 9835682272416. Its totient is φ = 800625331200.

The previous prime is 3002345003993. The next prime is 3002345004011. The reversal of 3002345004000 is 4005432003.

It is a happy number.

3002345004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 125085709 + ... + 125109708.

It is an arithmetic number, because the mean of its divisors is an integer number (102455023671).

Almost surely, 2^{3002345004000} is an apocalyptic number.

3002345004000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3002345004000 is an abundant number, since it is smaller than the sum of its proper divisors (6833337268416).

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

3002345004000 is a wasteful number, since it uses less digits than its factorization.

3002345004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250195445 (or 250195427 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The spelling of 3002345004000 in words is "three trillion, two billion, three hundred forty-five million, four thousand".