3064472611200 has 4608 divisors, whose sum is σ = 15840266158080. Its totient is φ = 564350976000.

The previous prime is 3064472611199. The next prime is 3064472611201. The reversal of 3064472611200 is 21162744603.

3064472611200 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 472 + 61 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3064472611199) and next prime (3064472611201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3064472611201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 24129705537 + ... + 24129705663.

It is an arithmetic number, because the mean of its divisors is an integer number (3437557760).

Almost surely, 2^{3064472611200} is an apocalyptic number.

3064472611200 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 3064472611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7920133079040).

3064472611200 is an abundant number, since it is smaller than the sum of its proper divisors (12775793546880).

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

3064472611200 is a wasteful number, since it uses less digits than its factorization.

3064472611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 3064472611200 in words is "three trillion, sixty-four billion, four hundred seventy-two million, six hundred eleven thousand, two hundred".