3000564000 has 768 divisors, whose sum is σ = 12894336000. Its totient is φ = 685843200.

The previous prime is 3000563987. The next prime is 3000564071. The reversal of 3000564000 is 4650003.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 428651997 + ... + 428652003.

It is an arithmetic number, because the mean of its divisors is an integer number (16789500).

Almost surely, 2^3000564000 is an apocalyptic number.

3000564000 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 3000564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447168000).

3000564000 is an abundant number, since it is smaller than the sum of its proper divisors (9893772000).

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

3000564000 is an frugal number, since it uses more digits than its factorization.

3000564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3000564000 is about 54777.4041005961. The cubic root of 3000564000 is about 1442.3399456172.

Multiplying 3000564000 by its sum of digits (18), we get a cube (54010152000 = 3780³).

The spelling of 3000564000 in words is "three billion, five hundred sixty-four thousand".