3000930240 has 224 divisors, whose sum is σ = 11879299584. Its totient is φ = 623554560.

The previous prime is 3000930211. The next prime is 3000930277. The reversal of 3000930240 is 420390003.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 53622 + ... + 94218.

Almost surely, 2^3000930240 is an apocalyptic number.

3000930240 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 3000930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939649792).

3000930240 is an abundant number, since it is smaller than the sum of its proper divisors (8878369344).

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

3000930240 is a wasteful number, since it uses less digits than its factorization.

3000930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40635 (or 40625 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3000930240 is about 54780.7469828589. The cubic root of 3000930240 is about 1442.3986258177.

The spelling of 3000930240 in words is "three billion, nine hundred thirty thousand, two hundred forty".