34950 has 24 divisors (see below), whose sum is σ = 87048. Its totient is φ = 9280.

The previous prime is 34949. The next prime is 34961. The reversal of 34950 is 5943.

It is a nialpdrome in base 15 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34 + ... + 266.

It is an arithmetic number, because the mean of its divisors is an integer number (3627).

2³⁴⁹⁵⁰ is an apocalyptic number.

34950 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 34950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43524).

34950 is an abundant number, since it is smaller than the sum of its proper divisors (52098).

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

34950 is a wasteful number, since it uses less digits than its factorization.

34950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 34950 is about 186.9491909584. The cubic root of 34950 is about 32.6950791724.

The spelling of 34950 in words is "thirty-four thousand, nine hundred fifty".