3064213600 has 288 divisors, whose sum is σ = 9299404800. Its totient is φ = 962150400.

The previous prime is 3064213567. The next prime is 3064213609. The reversal of 3064213600 is 63124603.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3064213609) 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, 3297936 + ... + 3298864.

It is an arithmetic number, because the mean of its divisors is an integer number (32289600).

Almost surely, 2^3064213600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3064213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649702400).

3064213600 is an abundant number, since it is smaller than the sum of its proper divisors (6235191200).

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

3064213600 is a wasteful number, since it uses less digits than its factorization.

3064213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 3064213600 is about 55355.3393991944. The cubic root of 3064213600 is about 1452.4672382687.

The spelling of 3064213600 in words is "three billion, sixty-four million, two hundred thirteen thousand, six hundred".