34623905625 has 75 divisors (see below), whose sum is σ = 64710221257. Its totient is φ = 18443754000.

The previous prime is 34623905581. The next prime is 34623905639. The reversal of 34623905625 is 52650932643.

The square root of 34623905625 is 186075.

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

34623905625 is a `hidden beast` number, since 346 + 239 + 0 + 56 + 25 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2714514201 + 31909391424 = 52101^2 + 178632^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 34623905625 - 2⁷ = 34623905497 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 an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 41866462 + ... + 41867288.

Almost surely, 2^34623905625 is an apocalyptic number.

34623905625 is the 186075-th square number.

34623905625 is the 93038-th centered octagonal number.

It is an amenable number.

34623905625 is a deficient number, since it is larger than the sum of its proper divisors (30086315632).

34623905625 is an frugal number, since it uses more digits than its factorization.

34623905625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 34623905625 in words is "thirty-four billion, six hundred twenty-three million, nine hundred five thousand, six hundred twenty-five".