38970 has 24 divisors (see below), whose sum is σ = 101556. Its totient is φ = 10368.

The previous prime is 38959. The next prime is 38971. The reversal of 38970 is 7983.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 35721 + 3249 = 189^2 + 57^2 .

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (38971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127 + ... + 306.

2³⁸⁹⁷⁰ is an apocalyptic number.

38970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38970 is an abundant number, since it is smaller than the sum of its proper divisors (62586).

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 (50778).

38970 is a wasteful number, since it uses less digits than its factorization.

38970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 38970 is about 197.4082065163. The cubic root of 38970 is about 33.9034167856.

The spelling of 38970 in words is "thirty-eight thousand, nine hundred seventy".