3034342311000 has 1024 divisors, whose sum is σ = 12791181312000. Its totient is φ = 578347776000.

The previous prime is 3034342310969. The next prime is 3034342311059. The reversal of 3034342311000 is 1132434303.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 489485901 + ... + 489492099.

It is an arithmetic number, because the mean of its divisors is an integer number (12491388000).

Almost surely, 2^{3034342311000} is an apocalyptic number.

3034342311000 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 3034342311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6395590656000).

3034342311000 is an abundant number, since it is smaller than the sum of its proper divisors (9756839001000).

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

3034342311000 is a wasteful number, since it uses less digits than its factorization.

3034342311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6403 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 3034342311000 its reverse (1132434303), we get a palindrome (3035474745303).

The spelling of 3034342311000 in words is "three trillion, thirty-four billion, three hundred forty-two million, three hundred eleven thousand".