34033441434340 has 24 divisors (see below), whose sum is σ = 71473821302520. Its totient is φ = 13612691947008.

The previous prime is 34033441434329. The next prime is 34033441434341. The reversal of 34033441434340 is 4343414433043.

It can be written as a sum of positive squares in 4 ways, for example, as 8372874662464 + 25660566771876 = 2893592^2 + 5065626^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34033441434293 and 34033441434302.

It is not an unprimeable number, because it can be changed into a prime (34033441434341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42381447 + ... + 43177006.

It is an arithmetic number, because the mean of its divisors is an integer number (2978075887605).

Almost surely, 2^{34033441434340} is an apocalyptic number.

It is an amenable number.

34033441434340 is an abundant number, since it is smaller than the sum of its proper divisors (37440379868180).

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

34033441434340 is a wasteful number, since it uses less digits than its factorization.

34033441434340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85578351 (or 85578349 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 40.

Adding to 34033441434340 its reverse (4343414433043), we get a palindrome (38376855867383).

The spelling of 34033441434340 in words is "thirty-four trillion, thirty-three billion, four hundred forty-one million, four hundred thirty-four thousand, three hundred forty".