34626 has 16 divisors (see below), whose sum is σ = 72000. Its totient is φ = 11088.

The previous prime is 34613. The next prime is 34631. The reversal of 34626 is 62643.

It is a nialpdrome in base 16.

It is an unprimeable number.

34626 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, 75 + ... + 273.

It is an arithmetic number, because the mean of its divisors is an integer number (4500).

2³⁴⁶²⁶ is an apocalyptic number.

34626 is an abundant number, since it is smaller than the sum of its proper divisors (37374).

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 (36000).

34626 is a wasteful number, since it uses less digits than its factorization.

34626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233.

The product of its digits is 864, while the sum is 21.

The square root of 34626 is about 186.0806276860. The cubic root of 34626 is about 32.5937333482.

The spelling of 34626 in words is "thirty-four thousand, six hundred twenty-six".