3000760320 has 384 divisors, whose sum is σ = 10416107520. Its totient is φ = 735313920.

The previous prime is 3000760291. The next prime is 3000760331. The reversal of 3000760320 is 230670003.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21903292 + ... + 21903428.

It is an arithmetic number, because the mean of its divisors is an integer number (27125280).

Almost surely, 2^3000760320 is an apocalyptic number.

3000760320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208053760).

3000760320 is an abundant number, since it is smaller than the sum of its proper divisors (7415347200).

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

3000760320 is a wasteful number, since it uses less digits than its factorization.

3000760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 3000760320 is about 54779.1960510557. The cubic root of 3000760320 is about 1442.3714012594.

The spelling of 3000760320 in words is "three billion, seven hundred sixty thousand, three hundred twenty".