3011221000340 has 96 divisors (see below), whose sum is σ = 7337877571584. Its totient is φ = 1016581991040.

The previous prime is 3011221000339. The next prime is 3011221000421. The reversal of 3011221000340 is 430001221103.

It is a super-3 number, since 3×3011221000340³ (a number of 38 digits) contains 333 as substring.

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, 22661495 + ... + 22793985.

It is an arithmetic number, because the mean of its divisors is an integer number (76436224704).

Almost surely, 2^{3011221000340} 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 3011221000340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668938785792).

3011221000340 is an abundant number, since it is smaller than the sum of its proper divisors (4326656571244).

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

3011221000340 is a wasteful number, since it uses less digits than its factorization.

3011221000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134997 (or 134995 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 3011221000340 its reverse (430001221103), we get a palindrome (3441222221443).

The spelling of 3011221000340 in words is "three trillion, eleven billion, two hundred twenty-one million, three hundred forty", and thus it is an aban number.