34021330434 has 144 divisors (see below), whose sum is σ = 92468566008. Its totient is φ = 8960523264.

The previous prime is 34021330391. The next prime is 34021330451. The reversal of 34021330434 is 43403312043.

34021330434 is a `hidden beast` number, since 340 + 2 + 13 + 304 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33433025409 + 588305025 = 182847^2 + 24255^2 .

It is a super-3 number, since 3×34021330434³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34021330398 and 34021330407.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11200764 + ... + 11203800.

Almost surely, 2^34021330434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34021330434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46234283004).

34021330434 is an abundant number, since it is smaller than the sum of its proper divisors (58447235574).

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

34021330434 is a wasteful number, since it uses less digits than its factorization.

34021330434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4039 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 34021330434 its reverse (43403312043), we get a palindrome (77424642477).

The spelling of 34021330434 in words is "thirty-four billion, twenty-one million, three hundred thirty thousand, four hundred thirty-four".