3025288776960 has 720 divisors, whose sum is σ = 11059632815616. Its totient is φ = 789346861056.

The previous prime is 3025288776947. The next prime is 3025288776971. The reversal of 3025288776960 is 696778825203.

3025288776960 is a `hidden beast` number, since 30 + 2 + 528 + 8 + 7 + 76 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 3335488827 + ... + 3335489733.

Almost surely, 2^{3025288776960} is an apocalyptic number.

3025288776960 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 3025288776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529816407808).

3025288776960 is an abundant number, since it is smaller than the sum of its proper divisors (8034344038656).

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

3025288776960 is an equidigital number, since it uses as much as digits as its factorization.

3025288776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 3025288776960 in words is "three trillion, twenty-five billion, two hundred eighty-eight million, seven hundred seventy-six thousand, nine hundred sixty".