34085447424 has 486 divisors, whose sum is σ = 118729807560. Its totient is φ = 9376690176.

The previous prime is 34085447411. The next prime is 34085447437. The reversal of 34085447424 is 42474458043.

34085447424 is a `hidden beast` number, since 34 + 0 + 8 + 544 + 74 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34085447411) and next prime (34085447437).

It is a self number, because there is not a number n which added to its sum of digits gives 34085447424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 94945357 + ... + 94945715.

Almost surely, 2^34085447424 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 34085447424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59364903780).

34085447424 is an abundant number, since it is smaller than the sum of its proper divisors (84644360136).

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

34085447424 is a wasteful number, since it uses less digits than its factorization.

34085447424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 34085447424 in words is "thirty-four billion, eighty-five million, four hundred forty-seven thousand, four hundred twenty-four".