34201433224 has 64 divisors (see below), whose sum is σ = 75209904000. Its totient is φ = 14275505664.

The previous prime is 34201433207. The next prime is 34201433239. The reversal of 34201433224 is 42233410243.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34201433192 and 34201433201.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 820044 + ... + 860740.

It is an arithmetic number, because the mean of its divisors is an integer number (1175154750).

Almost surely, 2^34201433224 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 34201433224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37604952000).

34201433224 is an abundant number, since it is smaller than the sum of its proper divisors (41008470776).

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

34201433224 is a wasteful number, since it uses less digits than its factorization.

34201433224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41102 (or 41098 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34201433224 its reverse (42233410243), we get a palindrome (76434843467).

The spelling of 34201433224 in words is "thirty-four billion, two hundred one million, four hundred thirty-three thousand, two hundred twenty-four".