34836 has 12 divisors (see below), whose sum is σ = 81312. Its totient is φ = 11608.

The previous prime is 34819. The next prime is 34841. The reversal of 34836 is 63843.

34836 = T₅₃ + T₅₄ + ... + T₇₀.

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 3³ + 4² + 8⁵ + 3⁶ + 6⁴ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1440 + ... + 1463.

It is an arithmetic number, because the mean of its divisors is an integer number (6776).

2³⁴⁸³⁶ is an apocalyptic number.

It is an amenable number.

34836 is an abundant number, since it is smaller than the sum of its proper divisors (46476).

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 (40656).

34836 is a wasteful number, since it uses less digits than its factorization.

34836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2908 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 34836 is about 186.6440462485. The cubic root of 34836 is about 32.6594921539.

The spelling of 34836 in words is "thirty-four thousand, eight hundred thirty-six".