3064387200 has 384 divisors, whose sum is σ = 11915427840. Its totient is φ = 677376000.

The previous prime is 3064387187. The next prime is 3064387201. The reversal of 3064387200 is 27834603.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (3064387201) 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, 2082465 + ... + 2083935.

It is an arithmetic number, because the mean of its divisors is an integer number (31029760).

Almost surely, 2^3064387200 is an apocalyptic number.

3064387200 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 3064387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957713920).

3064387200 is an abundant number, since it is smaller than the sum of its proper divisors (8851040640).

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

3064387200 is a wasteful number, since it uses less digits than its factorization.

3064387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 3064387200 is about 55356.9074280708. The cubic root of 3064387200 is about 1452.4946671171.

The spelling of 3064387200 in words is "three billion, sixty-four million, three hundred eighty-seven thousand, two hundred".