3007025280 has 768 divisors, whose sum is σ = 12991829760. Its totient is φ = 625213440.

The previous prime is 3007025251. The next prime is 3007025309. The reversal of 3007025280 is 825207003.

It is an interprime number because it is at equal distance from previous prime (3007025251) and next prime (3007025309).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28102987 + ... + 28103093.

It is an arithmetic number, because the mean of its divisors is an integer number (16916445).

Almost surely, 2^3007025280 is an apocalyptic number.

3007025280 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 3007025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495914880).

3007025280 is an abundant number, since it is smaller than the sum of its proper divisors (9984804480).

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

3007025280 is a wasteful number, since it uses less digits than its factorization.

3007025280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3007025280 is about 54836.3499879414. The cubic root of 3007025280 is about 1443.3744934484.

The spelling of 3007025280 in words is "three billion, seven million, twenty-five thousand, two hundred eighty".