3064766400 has 504 divisors, whose sum is σ = 11607850800. Its totient is φ = 765542400.

The previous prime is 3064766389. The next prime is 3064766401. The reversal of 3064766400 is 46674603.

3064766400 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 7 + 6 + 640 + 0 = 666.

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 (3064766401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17121511 + ... + 17121689.

It is an arithmetic number, because the mean of its divisors is an integer number (23031450).

Almost surely, 2^3064766400 is an apocalyptic number.

3064766400 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 3064766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803925400).

3064766400 is an abundant number, since it is smaller than the sum of its proper divisors (8543084400).

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

3064766400 is a wasteful number, since it uses less digits than its factorization.

3064766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3064766400 is about 55360.3323689445. The cubic root of 3064766400 is about 1452.5545772204.

The spelling of 3064766400 in words is "three billion, sixty-four million, seven hundred sixty-six thousand, four hundred".