34675120 has 20 divisors (see below), whose sum is σ = 80619840. Its totient is φ = 13870016.

The previous prime is 34675093. The next prime is 34675127. The reversal of 34675120 is 2157643.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (34675127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 216640 + ... + 216799.

It is an arithmetic number, because the mean of its divisors is an integer number (4030992).

Almost surely, 2^34675120 is an apocalyptic number.

It is an amenable number.

34675120 is an abundant number, since it is smaller than the sum of its proper divisors (45944720).

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

34675120 is a wasteful number, since it uses less digits than its factorization.

34675120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433452 (or 433446 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 34675120 is about 5888.5583974348. The cubic root of 34675120 is about 326.0913841692.

It can be divided in two parts, 346 and 75120, that added together give a triangular number (75466 = T₃₈₈).

The spelling of 34675120 in words is "thirty-four million, six hundred seventy-five thousand, one hundred twenty".