3065288000 has 84 divisors (see below), whose sum is σ = 7603469172. Its totient is φ = 1224134400.

The previous prime is 3065287999. The next prime is 3065288011. The reversal of 3065288000 is 8825603.

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 can be written as a sum of positive squares in 2 ways, for example, as 98089216 + 2967198784 = 9904^2 + 54472^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4951691 + ... + 4952309.

Almost surely, 2^3065288000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3065288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801734586).

3065288000 is an abundant number, since it is smaller than the sum of its proper divisors (4538181172).

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

3065288000 is an frugal number, since it uses more digits than its factorization.

3065288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 3065288000 is about 55365.0431228948. The cubic root of 3065288000 is about 1452.6369771372.

Multiplying 3065288000 by its product of nonzero digits (11520), we get a square (35312117760000 = 5942400²).

The spelling of 3065288000 in words is "three billion, sixty-five million, two hundred eighty-eight thousand".