34027760 has 40 divisors (see below), whose sum is σ = 85202880. Its totient is φ = 12563712.

The previous prime is 34027723. The next prime is 34027769. The reversal of 34027760 is 6772043.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34027769) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15320 + ... + 17399.

It is an arithmetic number, because the mean of its divisors is an integer number (2130072).

Almost surely, 2^34027760 is an apocalyptic number.

It is an amenable number.

34027760 is an abundant number, since it is smaller than the sum of its proper divisors (51175120).

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

34027760 is a wasteful number, since it uses less digits than its factorization.

34027760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32745 (or 32739 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 34027760 is about 5833.3318095236. The cubic root of 34027760 is about 324.0493244015.

The spelling of 34027760 in words is "thirty-four million, twenty-seven thousand, seven hundred sixty".