34132223430 has 96 divisors (see below), whose sum is σ = 89799840000. Its totient is φ = 8994000960.

The previous prime is 34132223407. The next prime is 34132223443. The reversal of 34132223430 is 3432223143.

34132223430 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 2 + 223 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34132223394 and 34132223403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4547821 + ... + 4555319.

It is an arithmetic number, because the mean of its divisors is an integer number (935415000).

Almost surely, 2^34132223430 is an apocalyptic number.

34132223430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34132223430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44899920000).

34132223430 is an abundant number, since it is smaller than the sum of its proper divisors (55667616570).

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

34132223430 is a wasteful number, since it uses less digits than its factorization.

34132223430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8106 (or 8103 counting only the distinct ones).

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

Adding to 34132223430 its reverse (3432223143), we get a palindrome (37564446573).

The spelling of 34132223430 in words is "thirty-four billion, one hundred thirty-two million, two hundred twenty-three thousand, four hundred thirty".