34496 has 42 divisors (see below), whose sum is σ = 86868. Its totient is φ = 13440.

The previous prime is 34487. The next prime is 34499. The reversal of 34496 is 69443.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (34499) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3131 + ... + 3141.

2³⁴⁴⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43434).

34496 is an abundant number, since it is smaller than the sum of its proper divisors (52372).

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

34496 is a wasteful number, since it uses less digits than its factorization.

34496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 20 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 34496 is about 185.7309882599. The cubic root of 34496 is about 32.5528921776.

The spelling of 34496 in words is "thirty-four thousand, four hundred ninety-six".