34425435330 has 288 divisors, whose sum is σ = 106495749360. Its totient is φ = 7664025600.

The previous prime is 34425435301. The next prime is 34425435347. The reversal of 34425435330 is 3353452443.

34425435330 is a `hidden beast` number, since 3 + 44 + 254 + 35 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9470598489 + 24954836841 = 97317^2 + 157971^2 .

It is a super-2 number, since 2×34425435330² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34117866 + ... + 34118874.

Almost surely, 2^34425435330 is an apocalyptic number.

34425435330 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 34425435330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53247874680).

34425435330 is an abundant number, since it is smaller than the sum of its proper divisors (72070314030).

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

34425435330 is a wasteful number, since it uses less digits than its factorization.

34425435330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 34425435330 its reverse (3353452443), we get a palindrome (37778887773).

The spelling of 34425435330 in words is "thirty-four billion, four hundred twenty-five million, four hundred thirty-five thousand, three hundred thirty".