34123214000 has 80 divisors (see below), whose sum is σ = 86097435840. Its totient is φ = 13055820800.

The previous prime is 34123213961. The next prime is 34123214003. The reversal of 34123214000 is 41232143.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (34123214003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324905 + ... + 416904.

It is an arithmetic number, because the mean of its divisors is an integer number (1076217948).

Almost surely, 2^34123214000 is an apocalyptic number.

It is an amenable number.

34123214000 is an abundant number, since it is smaller than the sum of its proper divisors (51974221840).

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

34123214000 is a wasteful number, since it uses less digits than its factorization.

34123214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741855 (or 741839 counting only the distinct ones).

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

Adding to 34123214000 its reverse (41232143), we get a palindrome (34164446143).

The spelling of 34123214000 in words is "thirty-four billion, one hundred twenty-three million, two hundred fourteen thousand".