3064240200 has 576 divisors, whose sum is σ = 11973519360. Its totient is φ = 634314240.

The previous prime is 3064240199. The next prime is 3064240217. The reversal of 3064240200 is 20424603.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65196577 + ... + 65196623.

It is an arithmetic number, because the mean of its divisors is an integer number (20787360).

Almost surely, 2^3064240200 is an apocalyptic number.

3064240200 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 3064240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5986759680).

3064240200 is an abundant number, since it is smaller than the sum of its proper divisors (8909279160).

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

3064240200 is a wasteful number, since it uses less digits than its factorization.

3064240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3064240200 is about 55355.5796645650. The cubic root of 3064240200 is about 1452.4714411433.

Adding to 3064240200 its reverse (20424603), we get a palindrome (3084664803).

The spelling of 3064240200 in words is "three billion, sixty-four million, two hundred forty thousand, two hundred".