34456640625 has 189 divisors, whose sum is σ = 70980920689. Its totient is φ = 16706250000.

The previous prime is 34456640597. The next prime is 34456640627. The reversal of 34456640625 is 52604665443.

It is a happy number.

The square root of 34456640625 is 185625.

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

34456640625 is a `hidden beast` number, since 3 + 44 + 566 + 40 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24498197361 + 9958443264 = 156519^2 + 99792^2 .

It is not a de Polignac number, because 34456640625 - 2⁷ = 34456640497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34456640627) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 3132421870 + ... + 3132421880.

Almost surely, 2^34456640625 is an apocalyptic number.

34456640625 is the 185625-th square number.

34456640625 is the 92813-rd centered octagonal number.

It is an amenable number.

34456640625 is an abundant number, since it is smaller than the sum of its proper divisors (36524280064).

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

34456640625 is an frugal number, since it uses more digits than its factorization.

34456640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 34456640625 in words is "thirty-four billion, four hundred fifty-six million, six hundred forty thousand, six hundred twenty-five".