34421342440300 has 144 divisors (see below), whose sum is σ = 79444160373312. Its totient is φ = 12917289369600.

The previous prime is 34421342440291. The next prime is 34421342440321. The reversal of 34421342440300 is 304424312443.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49178392 + ... + 49873408.

It is an arithmetic number, because the mean of its divisors is an integer number (551695558148).

Almost surely, 2^{34421342440300} 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 34421342440300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39722080186656).

34421342440300 is an abundant number, since it is smaller than the sum of its proper divisors (45022817933012).

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

34421342440300 is a wasteful number, since it uses less digits than its factorization.

34421342440300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695468 (or 695461 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 34421342440300 its reverse (304424312443), we get a palindrome (34725766752743).

The spelling of 34421342440300 in words is "thirty-four trillion, four hundred twenty-one billion, three hundred forty-two million, four hundred forty thousand, three hundred".