34741115136 has 1296 divisors, whose sum is σ = 142868928384. Its totient is φ = 8169652224.

The previous prime is 34741115131. The next prime is 34741115159. The reversal of 34741115136 is 63151114743.

34741115136 is a `hidden beast` number, since 3 + 474 + 1 + 1 + 151 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 34741115136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34741115131) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1828479735 + ... + 1828479753.

Almost surely, 2^34741115136 is an apocalyptic number.

34741115136 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 34741115136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71434464192).

34741115136 is an abundant number, since it is smaller than the sum of its proper divisors (108127813248).

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

34741115136 is a wasteful number, since it uses less digits than its factorization.

34741115136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 61 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

Adding to 34741115136 its reverse (63151114743), we get a palindrome (97892229879).

The spelling of 34741115136 in words is "thirty-four billion, seven hundred forty-one million, one hundred fifteen thousand, one hundred thirty-six".