34115413103616 has 704 divisors, whose sum is σ = 103583720153088. Its totient is φ = 9903692316672.

The previous prime is 34115413103609. The next prime is 34115413103657. The reversal of 34115413103616 is 61630131451143.

It is a super-2 number, since 2×34115413103616² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 41252010595 + ... + 41252011421.

Almost surely, 2^{34115413103616} 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 34115413103616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51791860076544).

34115413103616 is an abundant number, since it is smaller than the sum of its proper divisors (69468307049472).

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

34115413103616 is a wasteful number, since it uses less digits than its factorization.

34115413103616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

Adding to 34115413103616 its reverse (61630131451143), we get a palindrome (95745544554759).

The spelling of 34115413103616 in words is "thirty-four trillion, one hundred fifteen billion, four hundred thirteen million, one hundred three thousand, six hundred sixteen".