3005268000 has 576 divisors, whose sum is σ = 12100233600. Its totient is φ = 648345600.

The previous prime is 3005267963. The next prime is 3005268023. The reversal of 3005268000 is 8625003.

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 95 ways as a sum of consecutive naturals, for example, 11171866 + ... + 11172134.

It is an arithmetic number, because the mean of its divisors is an integer number (21007350).

Almost surely, 2^3005268000 is an apocalyptic number.

3005268000 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 3005268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050116800).

3005268000 is an abundant number, since it is smaller than the sum of its proper divisors (9094965600).

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

3005268000 is a wasteful number, since it uses less digits than its factorization.

3005268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3005268000 is about 54820.3246980534. The cubic root of 3005268000 is about 1443.0932734009.

The spelling of 3005268000 in words is "three billion, five million, two hundred sixty-eight thousand".