3001140000 has 180 divisors, whose sum is σ = 10665340686. Its totient is φ = 800256000.

The previous prime is 3001139963. The next prime is 3001140029. The reversal of 3001140000 is 411003.

It can be written as a sum of positive squares in 5 ways, for example, as 391564944 + 2609575056 = 19788^2 + 51084^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 171664 + ... + 188336.

Almost surely, 2^3001140000 is an apocalyptic number.

3001140000 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 3001140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332670343).

3001140000 is an abundant number, since it is smaller than the sum of its proper divisors (7664200686).

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

3001140000 is a wasteful number, since it uses less digits than its factorization.

3001140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16709 (or 16683 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3001140000 is about 54782.6614906578. The cubic root of 3001140000 is about 1442.4322321178.

Adding to 3001140000 its reverse (411003), we get a palindrome (3001551003).

The spelling of 3001140000 in words is "three billion, one million, one hundred forty thousand".