38496 has 24 divisors (see below), whose sum is σ = 101304. Its totient is φ = 12800.

The previous prime is 38461. The next prime is 38501. The reversal of 38496 is 69483.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

38496 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 3 ways as a sum of consecutive naturals, for example, 105 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (4221).

2³⁸⁴⁹⁶ is an apocalyptic number.

It is an amenable number.

38496 is an abundant number, since it is smaller than the sum of its proper divisors (62808).

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 (50652).

38496 is a wasteful number, since it uses less digits than its factorization.

38496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 38496 is about 196.2039754949. The cubic root of 38496 is about 33.7653976380.

It can be divided in two parts, 384 and 96, that multiplied together give a square (36864 = 192²).

The spelling of 38496 in words is "thirty-eight thousand, four hundred ninety-six".