34801125 has 64 divisors (see below), whose sum is σ = 63078912. Its totient is φ = 16972800.

The previous prime is 34801099. The next prime is 34801183. The reversal of 34801125 is 52110843.

It is not a de Polignac number, because 34801125 - 2⁹ = 34800613 is a prime.

It is a super-2 number, since 2×34801125² = 2422236602531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34801095 and 34801104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337824 + ... + 337926.

It is an arithmetic number, because the mean of its divisors is an integer number (985608).

Almost surely, 2^34801125 is an apocalyptic number.

It is an amenable number.

34801125 is a deficient number, since it is larger than the sum of its proper divisors (28277787).

34801125 is a wasteful number, since it uses less digits than its factorization.

34801125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 34801125 is about 5899.2478334106. The cubic root of 34801125 is about 326.4858982971.

Adding to 34801125 its reverse (52110843), we get a palindrome (86911968).

The spelling of 34801125 in words is "thirty-four million, eight hundred one thousand, one hundred twenty-five".