34314304400 has 30 divisors (see below), whose sum is σ = 82440117282. Its totient is φ = 13725721600.

The previous prime is 34314304391. The next prime is 34314304403. The reversal of 34314304400 is 440341343.

It can be written as a sum of positive squares in 3 ways, for example, as 11175026944 + 23139277456 = 105712^2 + 152116^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34314304400.

It is not an unprimeable number, because it can be changed into a prime (34314304403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42892481 + ... + 42893280.

Almost surely, 2^34314304400 is an apocalyptic number.

It is an amenable number.

34314304400 is an abundant number, since it is smaller than the sum of its proper divisors (48125812882).

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

34314304400 is a wasteful number, since it uses less digits than its factorization.

34314304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85785779 (or 85785768 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34314304400 its reverse (440341343), we get a palindrome (34754645743).

The spelling of 34314304400 in words is "thirty-four billion, three hundred fourteen million, three hundred four thousand, four hundred".