3001333340 has 96 divisors (see below), whose sum is σ = 6810531840. Its totient is φ = 1106924544.

The previous prime is 3001333339. The next prime is 3001333351. The reversal of 3001333340 is 433331003.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 8177837 + ... + 8178203.

It is an arithmetic number, because the mean of its divisors is an integer number (70943040).

Almost surely, 2^3001333340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001333340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405265920).

3001333340 is an abundant number, since it is smaller than the sum of its proper divisors (3809198500).

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

3001333340 is a wasteful number, since it uses less digits than its factorization.

3001333340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 3001333340 is about 54784.4260716492. The cubic root of 3001333340 is about 1442.4632063319.

Adding to 3001333340 its reverse (433331003), we get a palindrome (3434664343).

The spelling of 3001333340 in words is "three billion, one million, three hundred thirty-three thousand, three hundred forty".