34768115424 has 288 divisors, whose sum is σ = 116396280000. Its totient is φ = 9839563776.

The previous prime is 34768115423. The next prime is 34768115429. The reversal of 34768115424 is 42451186743.

34768115424 is a `hidden beast` number, since 3 + 47 + 68 + 1 + 1 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 34768115424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34768115423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10765842 + ... + 10769070.

It is an arithmetic number, because the mean of its divisors is an integer number (404153750).

Almost surely, 2^34768115424 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 34768115424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58198140000).

34768115424 is an abundant number, since it is smaller than the sum of its proper divisors (81628164576).

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

34768115424 is a wasteful number, since it uses less digits than its factorization.

34768115424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3350 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 34768115424 in words is "thirty-four billion, seven hundred sixty-eight million, one hundred fifteen thousand, four hundred twenty-four".