34478314400 has 36 divisors (see below), whose sum is σ = 84170186982. Its totient is φ = 13791325440.

The previous prime is 34478314393. The next prime is 34478314417. The reversal of 34478314400 is 441387443.

It can be written as a sum of positive squares in 3 ways, for example, as 27305579536 + 7172734864 = 165244^2 + 84692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21548147 + ... + 21549746.

Almost surely, 2^34478314400 is an apocalyptic number.

It is an amenable number.

34478314400 is an abundant number, since it is smaller than the sum of its proper divisors (49691872582).

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

34478314400 is a wasteful number, since it uses less digits than its factorization.

34478314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43097913 (or 43097900 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The spelling of 34478314400 in words is "thirty-four billion, four hundred seventy-eight million, three hundred fourteen thousand, four hundred".