34443535126336 has 112 divisors (see below), whose sum is σ = 79431418154880. Its totient is φ = 14514436085760.

The previous prime is 34443535126309. The next prime is 34443535126423. The reversal of 34443535126336 is 63362153534443.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×34443535126336² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3704826 + ... + 9089158.

Almost surely, 2^{34443535126336} 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 34443535126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39715709077440).

34443535126336 is an abundant number, since it is smaller than the sum of its proper divisors (44987883028544).

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

34443535126336 is a wasteful number, since it uses less digits than its factorization.

34443535126336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384592 (or 5384582 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 52.

The spelling of 34443535126336 in words is "thirty-four trillion, four hundred forty-three billion, five hundred thirty-five million, one hundred twenty-six thousand, three hundred thirty-six".