38778 has 16 divisors (see below), whose sum is σ = 81216. Its totient is φ = 12320.

The previous prime is 38767. The next prime is 38783. The reversal of 38778 is 87783.

It is a Curzon number.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38778.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3 + ... + 278.

It is an arithmetic number, because the mean of its divisors is an integer number (5076).

2³⁸⁷⁷⁸ is an apocalyptic number.

38778 is an abundant number, since it is smaller than the sum of its proper divisors (42438).

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 (40608).

38778 is a wasteful number, since it uses less digits than its factorization.

38778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309.

The product of its digits is 9408, while the sum is 33.

The square root of 38778 is about 196.9213040786. The cubic root of 38778 is about 33.8476458868.

It can be divided in two parts, 387 and 78, that added together give a triangular number (465 = T₃₀).

The spelling of 38778 in words is "thirty-eight thousand, seven hundred seventy-eight".