38670 has 16 divisors (see below), whose sum is σ = 92880. Its totient is φ = 10304.

The previous prime is 38669. The next prime is 38671. The reversal of 38670 is 7683.

38670 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38669) and next prime (38671).

It is a self number, because there is not a number n which added to its sum of digits gives 38670.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38670.

It is not an unprimeable number, because it can be changed into a prime (38671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 615 + ... + 674.

It is an arithmetic number, because the mean of its divisors is an integer number (5805).

2³⁸⁶⁷⁰ is an apocalyptic number.

38670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38670 is an abundant number, since it is smaller than the sum of its proper divisors (54210).

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 (46440).

38670 is a wasteful number, since it uses less digits than its factorization.

38670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 38670 is about 196.6468916612. The cubic root of 38670 is about 33.8161938204.

The spelling of 38670 in words is "thirty-eight thousand, six hundred seventy".