34242819072 has 176 divisors, whose sum is σ = 113791452672. Its totient is φ = 8894177280.

The previous prime is 34242819011. The next prime is 34242819097. The reversal of 34242819072 is 27091824243.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164163 + ... + 308925.

Almost surely, 2^34242819072 is an apocalyptic number.

34242819072 is a gapful number since it is divisible by the number (32) 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 34242819072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56895726336).

34242819072 is an abundant number, since it is smaller than the sum of its proper divisors (79548633600).

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

34242819072 is a wasteful number, since it uses less digits than its factorization.

34242819072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144804 (or 144786 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 34242819072 in words is "thirty-four billion, two hundred forty-two million, eight hundred nineteen thousand, seventy-two".