34321000214000 has 160 divisors (see below), whose sum is σ = 85856911770240. Its totient is φ = 13253915136000.

The previous prime is 34321000213967. The next prime is 34321000214003. The reversal of 34321000214000 is 41200012343.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34321000214003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1326505064 + ... + 1326530936.

It is an arithmetic number, because the mean of its divisors is an integer number (536605698564).

Almost surely, 2^{34321000214000} 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 34321000214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42928455885120).

34321000214000 is an abundant number, since it is smaller than the sum of its proper divisors (51535911556240).

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

34321000214000 is a wasteful number, since it uses less digits than its factorization.

34321000214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48796 (or 48780 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34321000214000 its reverse (41200012343), we get a palindrome (34362200226343).

The spelling of 34321000214000 in words is "thirty-four trillion, three hundred twenty-one billion, two hundred fourteen thousand".