3004563456 has 180 divisors, whose sum is σ = 9008282052. Its totient is φ = 997982208.

The previous prime is 3004563451. The next prime is 3004563521. The reversal of 3004563456 is 6543654003.

3004563456 is a `hidden beast` number, since 300 + 4 + 5 + 6 + 345 + 6 = 666.

It is a super-2 number, since 2×3004563456² = 18054803122261327872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3004563456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004563451) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10616691 + ... + 10616973.

Almost surely, 2^3004563456 is an apocalyptic number.

3004563456 is a gapful number since it is divisible by the number (36) 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 3004563456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504141026).

3004563456 is an abundant number, since it is smaller than the sum of its proper divisors (6003718596).

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

3004563456 is an frugal number, since it uses more digits than its factorization.

3004563456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3004563456 is about 54813.8983835304. The cubic root of 3004563456 is about 1442.9804934237.

The spelling of 3004563456 in words is "three billion, four million, five hundred sixty-three thousand, four hundred fifty-six".