3002724864 has 160 divisors (see below), whose sum is σ = 8998799040. Its totient is φ = 988471296.

The previous prime is 3002724859. The next prime is 3002724877. The reversal of 3002724864 is 4684272003.

3002724864 is a `hidden beast` number, since 300 + 272 + 4 + 86 + 4 = 666.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1146084 + ... + 1148700.

It is an arithmetic number, because the mean of its divisors is an integer number (56242494).

Almost surely, 2^3002724864 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 3002724864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499399520).

3002724864 is an abundant number, since it is smaller than the sum of its proper divisors (5996074176).

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

3002724864 is an equidigital number, since it uses as much as digits as its factorization.

3002724864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3002724864 is about 54797.1245960954. The cubic root of 3002724864 is about 1442.6860974958.

Adding to 3002724864 its reverse (4684272003), we get a palindrome (7686996867).

The spelling of 3002724864 in words is "three billion, two million, seven hundred twenty-four thousand, eight hundred sixty-four".