34031042430 has 192 divisors, whose sum is σ = 103913280000. Its totient is φ = 7053177600.

The previous prime is 34031042417. The next prime is 34031042483. The reversal of 34031042430 is 3424013043.

It is a super-3 number, since 3×34031042430³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 34031042430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6805071 + ... + 6810069.

It is an arithmetic number, because the mean of its divisors is an integer number (541215000).

Almost surely, 2^34031042430 is an apocalyptic number.

34031042430 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 34031042430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51956640000).

34031042430 is an abundant number, since it is smaller than the sum of its proper divisors (69882237570).

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

34031042430 is a wasteful number, since it uses less digits than its factorization.

34031042430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5455 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34031042430 its reverse (3424013043), we get a palindrome (37455055473).

The spelling of 34031042430 in words is "thirty-four billion, thirty-one million, forty-two thousand, four hundred thirty".