3006007140 has 96 divisors (see below), whose sum is σ = 8553315456. Its totient is φ = 788659200.

The previous prime is 3006007139. The next prime is 3006007171. The reversal of 3006007140 is 417006003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2859615 + ... + 2860665.

It is an arithmetic number, because the mean of its divisors is an integer number (89097036).

Almost surely, 2^3006007140 is an apocalyptic number.

3006007140 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 3006007140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276657728).

3006007140 is an abundant number, since it is smaller than the sum of its proper divisors (5547308316).

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

3006007140 is a wasteful number, since it uses less digits than its factorization.

3006007140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 3006007140 is about 54827.0657613555. The cubic root of 3006007140 is about 1443.2115723931.

The spelling of 3006007140 in words is "three billion, six million, seven thousand, one hundred forty".