34123221667240 has 256 divisors, whose sum is σ = 82945350328320. Its totient is φ = 12610507653120.

The previous prime is 34123221667237. The next prime is 34123221667259. The reversal of 34123221667240 is 4276612232143.

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, 534337392 + ... + 534401248.

It is an arithmetic number, because the mean of its divisors is an integer number (324005274720).

Almost surely, 2^{34123221667240} 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 34123221667240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41472675164160).

34123221667240 is an abundant number, since it is smaller than the sum of its proper divisors (48822128661080).

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

34123221667240 is a wasteful number, since it uses less digits than its factorization.

34123221667240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64172 (or 64168 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 43.

Adding to 34123221667240 its reverse (4276612232143), we get a palindrome (38399833899383).

The spelling of 34123221667240 in words is "thirty-four trillion, one hundred twenty-three billion, two hundred twenty-one million, six hundred sixty-seven thousand, two hundred forty".