3000302464 has 64 divisors (see below), whose sum is σ = 6303600000. Its totient is φ = 1418522112.

The previous prime is 3000302453. The next prime is 3000302471. The reversal of 3000302464 is 4642030003.

3000302464 = T₁₅₂ + T₁₅₃ + ... + T₂₆₂₀.

3000302464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2000787 + ... + 2002285.

It is an arithmetic number, because the mean of its divisors is an integer number (98493750).

Almost surely, 2^3000302464 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 3000302464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151800000).

3000302464 is an abundant number, since it is smaller than the sum of its proper divisors (3303297536).

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

3000302464 is a wasteful number, since it uses less digits than its factorization.

3000302464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3000302464 is about 54775.0167868527. The cubic root of 3000302464 is about 1442.2980385201.

Adding to 3000302464 its reverse (4642030003), we get a palindrome (7642332467).

The spelling of 3000302464 in words is "three billion, three hundred two thousand, four hundred sixty-four".