34424017992 has 192 divisors, whose sum is σ = 114987600000. Its totient is φ = 9059807232.

The previous prime is 34424017967. The next prime is 34424018023. The reversal of 34424017992 is 29971042443.

It is a super-4 number, since 4×34424017992⁴ (a number of 43 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3264184 + ... + 3274712.

It is an arithmetic number, because the mean of its divisors is an integer number (598893750).

Almost surely, 2^34424017992 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 34424017992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57493800000).

34424017992 is an abundant number, since it is smaller than the sum of its proper divisors (80563582008).

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

34424017992 is a wasteful number, since it uses less digits than its factorization.

34424017992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11060 (or 11053 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 34424017992 in words is "thirty-four billion, four hundred twenty-four million, seventeen thousand, nine hundred ninety-two".