3000540648 has 64 divisors (see below), whose sum is σ = 9024192000. Its totient is φ = 812175552.

The previous prime is 3000540643. The next prime is 3000540661. The reversal of 3000540648 is 8460450003.

It is a super-3 number, since 3×3000540648³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3000540643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466818 + ... + 473201.

It is an arithmetic number, because the mean of its divisors is an integer number (141003000).

Almost surely, 2^3000540648 is an apocalyptic number.

3000540648 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3000540648 is an abundant number, since it is smaller than the sum of its proper divisors (6023651352).

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

3000540648 is a wasteful number, since it uses less digits than its factorization.

3000540648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940054 (or 940050 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3000540648 is about 54777.1909465975. The cubic root of 3000540648 is about 1442.3362039195.

The spelling of 3000540648 in words is "three billion, five hundred forty thousand, six hundred forty-eight".