3004683264 has 264 divisors, whose sum is σ = 9587623968. Its totient is φ = 898744320.

The previous prime is 3004683233. The next prime is 3004683281. The reversal of 3004683264 is 4623864003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10847094 + ... + 10847370.

Almost surely, 2^3004683264 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 3004683264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4793811984).

3004683264 is an abundant number, since it is smaller than the sum of its proper divisors (6582940704).

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

3004683264 is a wasteful number, since it uses less digits than its factorization.

3004683264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3004683264 is about 54814.9912341505. The cubic root of 3004683264 is about 1442.9996729497. Note that the first 3 decimals are identical.

The spelling of 3004683264 in words is "three billion, four million, six hundred eighty-three thousand, two hundred sixty-four".