3006272940 has 192 divisors, whose sum is σ = 9485296128. Its totient is φ = 705024000.

The previous prime is 3006272939. The next prime is 3006273037. The reversal of 3006272940 is 492726003.

It is a super-3 number, since 3×3006272940³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7496740 + ... + 7497140.

It is an arithmetic number, because the mean of its divisors is an integer number (49402584).

Almost surely, 2^3006272940 is an apocalyptic number.

3006272940 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 3006272940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742648064).

3006272940 is an abundant number, since it is smaller than the sum of its proper divisors (6479023188).

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

3006272940 is a wasteful number, since it uses less digits than its factorization.

3006272940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3006272940 is about 54829.4896930475. The cubic root of 3006272940 is about 1443.2541088113.

Adding to 3006272940 its reverse (492726003), we get a palindrome (3498998943).

The spelling of 3006272940 in words is "three billion, six million, two hundred seventy-two thousand, nine hundred forty".