34204440314340 has 144 divisors (see below), whose sum is σ = 106691331709872. Its totient is φ = 8863529131008.

The previous prime is 34204440314237. The next prime is 34204440314347. The reversal of 34204440314340 is 4341304440243.

34204440314340 is a `hidden beast` number, since 3 + 4 + 204 + 4 + 403 + 1 + 4 + 3 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4361447974464 + 29842992339876 = 2088408^2 + 5462874^2 .

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 = 34204440314295 and 34204440314304.

It is not an unprimeable number, because it can be changed into a prime (34204440314347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2086062 + ... + 8529978.

It is an arithmetic number, because the mean of its divisors is an integer number (740912025763).

Almost surely, 2^{34204440314340} is an apocalyptic number.

34204440314340 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 34204440314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53345665854936).

34204440314340 is an abundant number, since it is smaller than the sum of its proper divisors (72486891395532).

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

34204440314340 is a wasteful number, since it uses less digits than its factorization.

34204440314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444766 (or 6444761 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 34204440314340 its reverse (4341304440243), we get a palindrome (38545744754583).

The spelling of 34204440314340 in words is "thirty-four trillion, two hundred four billion, four hundred forty million, three hundred fourteen thousand, three hundred forty".