34385723424 has 240 divisors, whose sum is σ = 110698461720. Its totient is φ = 10406154240.

The previous prime is 34385723413. The next prime is 34385723459. The reversal of 34385723424 is 42432758343.

34385723424 is a `hidden beast` number, since 3 + 4 + 38 + 572 + 3 + 42 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16286864400 + 18098859024 = 127620^2 + 134532^2 .

It is a super-3 number, since 3×34385723424³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34385723424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2047092 + ... + 2063820.

Almost surely, 2^34385723424 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 34385723424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55349230860).

34385723424 is an abundant number, since it is smaller than the sum of its proper divisors (76312738296).

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

34385723424 is a wasteful number, since it uses less digits than its factorization.

34385723424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16825 (or 16808 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The spelling of 34385723424 in words is "thirty-four billion, three hundred eighty-five million, seven hundred twenty-three thousand, four hundred twenty-four".