3007828320 has 384 divisors, whose sum is σ = 11370627072. Its totient is φ = 653875200.

The previous prime is 3007828301. The next prime is 3007828339. The reversal of 3007828320 is 238287003.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3007828301) and next prime (3007828339).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6978505 + ... + 6978935.

It is an arithmetic number, because the mean of its divisors is an integer number (29611008).

Almost surely, 2^3007828320 is an apocalyptic number.

3007828320 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 3007828320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685313536).

3007828320 is an abundant number, since it is smaller than the sum of its proper divisors (8362798752).

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

3007828320 is a wasteful number, since it uses less digits than its factorization.

3007828320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 3007828320 is about 54843.6716495167. The cubic root of 3007828320 is about 1443.5029686225.

The spelling of 3007828320 in words is "three billion, seven million, eight hundred twenty-eight thousand, three hundred twenty".