3064729600 has 117 divisors (see below), whose sum is σ = 7643783863. Its totient is φ = 1218805760.

The previous prime is 3064729589. The next prime is 3064729601. The reversal of 3064729600 is 69274603.

The square root of 3064729600 is 55360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 337383424 + 2727346176 = 18368^2 + 52224^2 .

It is a super-2 number, since 2×3064729600² = 18785135042232320000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3064729600.

It is not an unprimeable number, because it can be changed into a prime (3064729601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17715114 + ... + 17715286.

Almost surely, 2^3064729600 is an apocalyptic number.

3064729600 is the 55360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3064729600

3064729600 is an abundant number, since it is smaller than the sum of its proper divisors (4579054263).

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

3064729600 is an frugal number, since it uses more digits than its factorization.

3064729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The cubic root of 3064729600 is about 1452.5487633762.

The spelling of 3064729600 in words is "three billion, sixty-four million, seven hundred twenty-nine thousand, six hundred".