34191144442300 has 108 divisors (see below), whose sum is σ = 76675157585208. Its totient is φ = 13233591984000.

The previous prime is 34191144442277. The next prime is 34191144442391. The reversal of 34191144442300 is 324444119143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 966844419 + ... + 966879781.

It is an arithmetic number, because the mean of its divisors is an integer number (709955162826).

Almost surely, 2^{34191144442300} 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 34191144442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38337578792604).

34191144442300 is an abundant number, since it is smaller than the sum of its proper divisors (42484013142908).

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

34191144442300 is a wasteful number, since it uses less digits than its factorization.

34191144442300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45500 (or 45462 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 34191144442300 in words is "thirty-four trillion, one hundred ninety-one billion, one hundred forty-four million, four hundred forty-two thousand, three hundred".