34000000400 has 60 divisors (see below), whose sum is σ = 81895362900. Its totient is φ = 13564976640.

The previous prime is 34000000393. The next prime is 34000000427. The reversal of 34000000400 is 400000043.

It can be written as a sum of positive squares in 6 ways, for example, as 8311604224 + 25688396176 = 91168^2 + 160276^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 46346 + ... + 264854.

It is an arithmetic number, because the mean of its divisors is an integer number (1364922715).

Almost surely, 2^34000000400 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 34000000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40947681450).

34000000400 is an abundant number, since it is smaller than the sum of its proper divisors (47895362500).

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

34000000400 is a wasteful number, since it uses less digits than its factorization.

34000000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218916 (or 218905 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

Adding to 34000000400 its reverse (400000043), we get a palindrome (34400000443).

The spelling of 34000000400 in words is "thirty-four billion, four hundred", and thus it is an aban number.