34004400400 has 30 divisors (see below), whose sum is σ = 81695572922. Its totient is φ = 13601760000.

The previous prime is 34004400389. The next prime is 34004400401. The reversal of 34004400400 is 400440043.

It can be written as a sum of positive squares in 3 ways, for example, as 12061310976 + 21943089424 = 109824^2 + 148132^2 .

It is not an unprimeable number, because it can be changed into a prime (34004400401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 42505101 + ... + 42505900.

Almost surely, 2^34004400400 is an apocalyptic number.

It is an amenable number.

34004400400 is an abundant number, since it is smaller than the sum of its proper divisors (47691172522).

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

34004400400 is a wasteful number, since it uses less digits than its factorization.

34004400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85011019 (or 85011008 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 34004400400 its reverse (400440043), we get a palindrome (34404840443).

The spelling of 34004400400 in words is "thirty-four billion, four million, four hundred thousand, four hundred".