34410342032136 has 384 divisors, whose sum is σ = 108041924390400. Its totient is φ = 9690991165440.

The previous prime is 34410342032113. The next prime is 34410342032141. The reversal of 34410342032136 is 63123024301443.

It is a happy number.

34410342032136 is a `hidden beast` number, since 3 + 4 + 4 + 10 + 3 + 420 + 3 + 213 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34410342032136.

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, 21333131266 + ... + 21333132878.

It is an arithmetic number, because the mean of its divisors is an integer number (281359178100).

Almost surely, 2^{34410342032136} is an apocalyptic number.

34410342032136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34410342032136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54020962195200).

34410342032136 is an abundant number, since it is smaller than the sum of its proper divisors (73631582358264).

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

34410342032136 is a wasteful number, since it uses less digits than its factorization.

34410342032136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 34410342032136 its reverse (63123024301443), we get a palindrome (97533366333579).

The spelling of 34410342032136 in words is "thirty-four trillion, four hundred ten billion, three hundred forty-two million, thirty-two thousand, one hundred thirty-six".