34433420000 has 240 divisors, whose sum is σ = 97209383040. Its totient is φ = 11757504000.

The previous prime is 34433419963. The next prime is 34433420017. The reversal of 34433420000 is 2433443.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58659707 + ... + 58660293.

It is an arithmetic number, because the mean of its divisors is an integer number (405039096).

Almost surely, 2^34433420000 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 34433420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48604691520).

34433420000 is an abundant number, since it is smaller than the sum of its proper divisors (62775963040).

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

34433420000 is an equidigital number, since it uses as much as digits as its factorization.

34433420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 34433420000 its reverse (2433443), we get a palindrome (34435853443).

The spelling of 34433420000 in words is "thirty-four billion, four hundred thirty-three million, four hundred twenty thousand".