34234341410340 has 144 divisors (see below), whose sum is σ = 104177552693760. Its totient is φ = 9099862410240.

The previous prime is 34234341410273. The next prime is 34234341410411. The reversal of 34234341410340 is 4301414343243.

34234341410340 is a `hidden beast` number, since 3 + 4 + 234 + 3 + 4 + 1 + 410 + 3 + 4 + 0 = 666.

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 = 34234341410295 and 34234341410304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258284685 + ... + 258417195.

It is an arithmetic number, because the mean of its divisors is an integer number (723455227040).

Almost surely, 2^{34234341410340} is an apocalyptic number.

34234341410340 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 34234341410340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52088776346880).

34234341410340 is an abundant number, since it is smaller than the sum of its proper divisors (69943211283420).

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

34234341410340 is a wasteful number, since it uses less digits than its factorization.

34234341410340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137122 (or 137117 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 34234341410340 its reverse (4301414343243), we get a palindrome (38535755753583).

The spelling of 34234341410340 in words is "thirty-four trillion, two hundred thirty-four billion, three hundred forty-one million, four hundred ten thousand, three hundred forty".