34124442030 has 192 divisors, whose sum is σ = 103405610880. Its totient is φ = 7646773248.

The previous prime is 34124441969. The next prime is 34124442059. The reversal of 34124442030 is 3024442143.

It is a happy number.

34124442030 is a `hidden beast` number, since 3 + 4 + 12 + 444 + 203 + 0 = 666.

It is a super-3 number, since 3×34124442030³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34124441985 and 34124442003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7954126 + ... + 7958414.

It is an arithmetic number, because the mean of its divisors is an integer number (538570890).

Almost surely, 2^34124442030 is an apocalyptic number.

34124442030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34124442030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51702805440).

34124442030 is an abundant number, since it is smaller than the sum of its proper divisors (69281168850).

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

34124442030 is a wasteful number, since it uses less digits than its factorization.

34124442030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34124442030 its reverse (3024442143), we get a palindrome (37148884173).

The spelling of 34124442030 in words is "thirty-four billion, one hundred twenty-four million, four hundred forty-two thousand, thirty".