34031322432 has 84 divisors (see below), whose sum is σ = 103282590996. Its totient is φ = 10676490240.

The previous prime is 34031322431. The next prime is 34031322443. The reversal of 34031322432 is 23422313043.

34031322432 is a `hidden beast` number, since 3 + 403 + 1 + 3 + 224 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30981632256 + 3049690176 = 176016^2 + 55224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34031322396 and 34031322405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34031322431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1727919 + ... + 1747502.

Almost surely, 2^34031322432 is an apocalyptic number.

34031322432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34031322432 is an abundant number, since it is smaller than the sum of its proper divisors (69251268564).

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

34031322432 is a wasteful number, since it uses less digits than its factorization.

34031322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475456 (or 3475443 counting only the distinct ones).

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

Adding to 34031322432 its reverse (23422313043), we get a palindrome (57453635475).

The spelling of 34031322432 in words is "thirty-four billion, thirty-one million, three hundred twenty-two thousand, four hundred thirty-two".