3064896000 has 480 divisors, whose sum is σ = 11725887888. Its totient is φ = 766771200.

The previous prime is 3064895969. The next prime is 3064896007. The reversal of 3064896000 is 6984603.

3064896000 is a `hidden beast` number, since 3 + 0 + 6 + 48 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1937664 + 3062958336 = 1392^2 + 55344^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3064896007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9791844 + ... + 9792156.

Almost surely, 2^3064896000 is an apocalyptic number.

3064896000 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 3064896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862943944).

3064896000 is an abundant number, since it is smaller than the sum of its proper divisors (8660991888).

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

3064896000 is a wasteful number, since it uses less digits than its factorization.

3064896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3064896000 is about 55361.5028697740. The cubic root of 3064896000 is about 1452.5750516922.

The spelling of 3064896000 in words is "three billion, sixty-four million, eight hundred ninety-six thousand".