34770 has 32 divisors (see below), whose sum is σ = 89280. Its totient is φ = 8640.

The previous prime is 34763. The next prime is 34781. The reversal of 34770 is 7743.

34770 is nontrivially palindromic in base 4.

34770 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34770.

It is an unprimeable number.

34770 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540 + ... + 600.

It is an arithmetic number, because the mean of its divisors is an integer number (2790).

2³⁴⁷⁷⁰ is an apocalyptic number.

34770 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640).

34770 is an abundant number, since it is smaller than the sum of its proper divisors (54510).

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

34770 is a wasteful number, since it uses less digits than its factorization.

34770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90.

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 34770 is about 186.4671552848. The cubic root of 34770 is about 32.6388536458.

The spelling of 34770 in words is "thirty-four thousand, seven hundred seventy".