34024340416 has 84 divisors (see below), whose sum is σ = 76219353784. Its totient is φ = 15047493120.

The previous prime is 34024340297. The next prime is 34024340429. The reversal of 34024340416 is 61404342043.

It is a super-3 number, since 3×34024340416³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 227155 + ... + 345901.

Almost surely, 2^34024340416 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 34024340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38109676892).

34024340416 is an abundant number, since it is smaller than the sum of its proper divisors (42195013368).

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

34024340416 is a wasteful number, since it uses less digits than its factorization.

34024340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118818 (or 118797 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 34024340416 its reverse (61404342043), we get a palindrome (95428682459).

The spelling of 34024340416 in words is "thirty-four billion, twenty-four million, three hundred forty thousand, four hundred sixteen".