3001035304320 has 128 divisors (see below), whose sum is σ = 9981704528640. Its totient is φ = 765481457664.

The previous prime is 3001035304301. The next prime is 3001035304403. The reversal of 3001035304320 is 234035301003.

It is a happy number.

3001035304320 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 (128).

It is a super-3 number, since 3×3001035304320³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 33934954 + ... + 34023273.

It is an arithmetic number, because the mean of its divisors is an integer number (77982066630).

Almost surely, 2^{3001035304320} is an apocalyptic number.

3001035304320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001035304320 is an abundant number, since it is smaller than the sum of its proper divisors (6980669224320).

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

3001035304320 is a wasteful number, since it uses less digits than its factorization.

3001035304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67958272 (or 67958260 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The spelling of 3001035304320 in words is "three trillion, one billion, thirty-five million, three hundred four thousand, three hundred twenty".