34620 has 24 divisors (see below), whose sum is σ = 97104. Its totient is φ = 9216.

The previous prime is 34613. The next prime is 34631. The reversal of 34620 is 2643.

34620 is nontrivially palindromic in base 14.

34620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34620.

It is a congruent number.

It is an unprimeable number.

34620 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 7 ways as a sum of consecutive naturals, for example, 229 + ... + 348.

It is an arithmetic number, because the mean of its divisors is an integer number (4046).

2³⁴⁶²⁰ is an apocalyptic number.

34620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34620 is an abundant number, since it is smaller than the sum of its proper divisors (62484).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48552).

34620 is a wasteful number, since it uses less digits than its factorization.

34620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 34620 is about 186.0645049439. The cubic root of 34620 is about 32.5918506234.

The spelling of 34620 in words is "thirty-four thousand, six hundred twenty".