34485145344 has 216 divisors, whose sum is σ = 107365228880. Its totient is φ = 10582327296.

The previous prime is 34485145319. The next prime is 34485145349. The reversal of 34485145344 is 44354158443.

34485145344 is a `hidden beast` number, since 3 + 4 + 48 + 514 + 53 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34485145344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34485145349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12967887 + ... + 12970545.

Almost surely, 2^34485145344 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 34485145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53682614440).

34485145344 is an abundant number, since it is smaller than the sum of its proper divisors (72880083536).

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

34485145344 is a wasteful number, since it uses less digits than its factorization.

34485145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127 (or 3110 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

The spelling of 34485145344 in words is "thirty-four billion, four hundred eighty-five million, one hundred forty-five thousand, three hundred forty-four".