34034401000 has 128 divisors (see below), whose sum is σ = 81868644000. Its totient is φ = 13238016000.

The previous prime is 34034400989. The next prime is 34034401007. The reversal of 34034401000 is 10443043.

It can be written as a sum of positive squares in 16 ways, for example, as 16640484004 + 17393916996 = 128998^2 + 131886^2 .

It is not an unprimeable number, because it can be changed into a prime (34034401007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5425866 + ... + 5432134.

Almost surely, 2^34034401000 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 34034401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40934322000).

34034401000 is an abundant number, since it is smaller than the sum of its proper divisors (47834243000).

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

34034401000 is a wasteful number, since it uses less digits than its factorization.

34034401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440 (or 6426 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 34034401000 its reverse (10443043), we get a palindrome (34044844043).

The spelling of 34034401000 in words is "thirty-four billion, thirty-four million, four hundred one thousand".