34304412132 has 216 divisors, whose sum is σ = 94447621632. Its totient is φ = 10493107200.

The previous prime is 34304412059. The next prime is 34304412133. The reversal of 34304412132 is 23121440343.

34304412132 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 441 + 213 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34304412096 and 34304412105.

It is not an unprimeable number, because it can be changed into a prime (34304412133) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121216863 + ... + 121217145.

Almost surely, 2^34304412132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34304412132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47223810816).

34304412132 is an abundant number, since it is smaller than the sum of its proper divisors (60143209500).

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

34304412132 is a wasteful number, since it uses less digits than its factorization.

34304412132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 557 counting only the distinct ones).

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

Adding to 34304412132 its reverse (23121440343), we get a palindrome (57425852475).

The spelling of 34304412132 in words is "thirty-four billion, three hundred four million, four hundred twelve thousand, one hundred thirty-two".