34427415430144 has 297 divisors, whose sum is σ = 76980955776543. Its totient is φ = 15377512550400.

The previous prime is 34427415430099. The next prime is 34427415430169. The reversal of 34427415430144 is 44103451472443.

The square root of 34427415430144 is 5867488.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34427415430094 and 34427415430103.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 163163106199 + ... + 163163106409.

Almost surely, 2^{34427415430144} is an apocalyptic number.

34427415430144 is the 5867488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34427415430144

34427415430144 is an abundant number, since it is smaller than the sum of its proper divisors (42553540346399).

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

34427415430144 is an frugal number, since it uses more digits than its factorization.

34427415430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 46.

The spelling of 34427415430144 in words is "thirty-four trillion, four hundred twenty-seven billion, four hundred fifteen million, four hundred thirty thousand, one hundred forty-four".