38388 has 24 divisors (see below), whose sum is σ = 102592. Its totient is φ = 10944.

The previous prime is 38377. The next prime is 38393. The reversal of 38388 is 88383.

38388 = T₂₇ + T₂₈ + ... + T₆₂.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

38388 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 7 ways as a sum of consecutive naturals, for example, 145 + ... + 312.

2³⁸³⁸⁸ is an apocalyptic number.

It is an amenable number.

38388 is an abundant number, since it is smaller than the sum of its proper divisors (64204).

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 (51296).

38388 is a wasteful number, since it uses less digits than its factorization.

38388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 469 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 38388 is about 195.9285584084. The cubic root of 38388 is about 33.7337919432.

The spelling of 38388 in words is "thirty-eight thousand, three hundred eighty-eight".