3005034114000 has 320 divisors, whose sum is σ = 10027131079680. Its totient is φ = 773337600000.

The previous prime is 3005034113993. The next prime is 3005034114031. The reversal of 3005034114000 is 4114305003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 715311900 + ... + 715316100.

It is an arithmetic number, because the mean of its divisors is an integer number (31334784624).

Almost surely, 2^{3005034114000} is an apocalyptic number.

3005034114000 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 3005034114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013565539840).

3005034114000 is an abundant number, since it is smaller than the sum of its proper divisors (7022096965680).

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

3005034114000 is a wasteful number, since it uses less digits than its factorization.

3005034114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8367 (or 8351 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 3005034114000 its reverse (4114305003), we get a palindrome (3009148419003).

The spelling of 3005034114000 in words is "three trillion, five billion, thirty-four million, one hundred fourteen thousand".