3006104640 has 336 divisors, whose sum is σ = 11992880256. Its totient is φ = 624476160.

The previous prime is 3006104639. The next prime is 3006104641. The reversal of 3006104640 is 464016003.

It is an interprime number because it is at equal distance from previous prime (3006104639) and next prime (3006104641).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3006104640.

It is not an unprimeable number, because it can be changed into a prime (3006104641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811272 + ... + 814968.

It is an arithmetic number, because the mean of its divisors is an integer number (35693096).

Almost surely, 2^3006104640 is an apocalyptic number.

3006104640 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 3006104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5996440128).

3006104640 is an abundant number, since it is smaller than the sum of its proper divisors (8986775616).

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

3006104640 is a wasteful number, since it uses less digits than its factorization.

3006104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3006104640 is about 54827.9549135293. The cubic root of 3006104640 is about 1443.2271757722.

The spelling of 3006104640 in words is "three billion, six million, one hundred four thousand, six hundred forty".