34213122432 has 48 divisors (see below), whose sum is σ = 98451826980. Its totient is φ = 11404373760.

The previous prime is 34213122431. The next prime is 34213122451. The reversal of 34213122432 is 23422131243.

34213122432 is a `hidden beast` number, since 3 + 4 + 213 + 12 + 2 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34213122396 and 34213122405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34213122431) 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 5 ways as a sum of consecutive naturals, for example, 14848294 + ... + 14850597.

Almost surely, 2^34213122432 is an apocalyptic number.

34213122432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34213122432 is an abundant number, since it is smaller than the sum of its proper divisors (64238704548).

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

34213122432 is a wasteful number, since it uses less digits than its factorization.

34213122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29698911 (or 29698896 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 34213122432 its reverse (23422131243), we get a palindrome (57635253675).

The spelling of 34213122432 in words is "thirty-four billion, two hundred thirteen million, one hundred twenty-two thousand, four hundred thirty-two".