34021314000 has 240 divisors, whose sum is σ = 119162521920. Its totient is φ = 9046598400.

The previous prime is 34021313941. The next prime is 34021314043. The reversal of 34021314000 is 41312043.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 6819507 + ... + 6824493.

It is an arithmetic number, because the mean of its divisors is an integer number (496510508).

Almost surely, 2^34021314000 is an apocalyptic number.

34021314000 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 34021314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59581260960).

34021314000 is an abundant number, since it is smaller than the sum of its proper divisors (85141207920).

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

34021314000 is a wasteful number, since it uses less digits than its factorization.

34021314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 34021314000 its reverse (41312043), we get a palindrome (34062626043).

The spelling of 34021314000 in words is "thirty-four billion, twenty-one million, three hundred fourteen thousand".