34136408340 has 240 divisors, whose sum is σ = 113805291600. Its totient is φ = 8565571584.

The previous prime is 34136408303. The next prime is 34136408389. The reversal of 34136408340 is 4380463143.

It is a happy number.

34136408340 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 640 + 8 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2085383556 + 32051024784 = 45666^2 + 179028^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 34136408295 and 34136408304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7956916 + ... + 7961204.

It is an arithmetic number, because the mean of its divisors is an integer number (474188715).

Almost surely, 2^34136408340 is an apocalyptic number.

34136408340 is a gapful number since it is divisible by the number (30) 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 34136408340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56902645800).

34136408340 is an abundant number, since it is smaller than the sum of its proper divisors (79668883260).

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

34136408340 is a wasteful number, since it uses less digits than its factorization.

34136408340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 34136408340 in words is "thirty-four billion, one hundred thirty-six million, four hundred eight thousand, three hundred forty".