34858757025 has 81 divisors (see below), whose sum is σ = 64974936793. Its totient is φ = 18551008800.

The previous prime is 34858756993. The next prime is 34858757029. The reversal of 34858757025 is 52075785843.

The square root of 34858757025 is 186705.

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

34858757025 is a `hidden beast` number, since 3 + 4 + 8 + 587 + 57 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3563731809 + 31295025216 = 59697^2 + 176904^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 34858757025 - 2⁵ = 34858756993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34858757029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 75615295 + ... + 75615755.

Almost surely, 2^34858757025 is an apocalyptic number.

34858757025 is the 186705-th square number.

34858757025 is the 93353-rd centered octagonal number.

It is an amenable number.

34858757025 is a deficient number, since it is larger than the sum of its proper divisors (30116179768).

34858757025 is an frugal number, since it uses more digits than its factorization.

34858757025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 34858757025 in words is "thirty-four billion, eight hundred fifty-eight million, seven hundred fifty-seven thousand, twenty-five".