34345355544 has 192 divisors, whose sum is σ = 104080204800. Its totient is φ = 10175413248.

The previous prime is 34345355543. The next prime is 34345355647. The reversal of 34345355544 is 44555354343.

34345355544 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 53 + 55 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34345355544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345355543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2216287 + ... + 2231729.

It is an arithmetic number, because the mean of its divisors is an integer number (542084400).

Almost surely, 2^34345355544 is an apocalyptic number.

34345355544 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34345355544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52040102400).

34345355544 is an abundant number, since it is smaller than the sum of its proper divisors (69734849256).

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

34345355544 is a wasteful number, since it uses less digits than its factorization.

34345355544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15574 (or 15567 counting only the distinct ones).

The product of its digits is 4320000, while the sum is 45.

The spelling of 34345355544 in words is "thirty-four billion, three hundred forty-five million, three hundred fifty-five thousand, five hundred forty-four".