38620 has 12 divisors (see below), whose sum is σ = 81144. Its totient is φ = 15440.

The previous prime is 38611. The next prime is 38629. The reversal of 38620 is 2683.

38620 = T₃₅ + T₃₆ + ... + T₆₄.

It is an interprime number because it is at equal distance from previous prime (38611) and next prime (38629).

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38629) by changing a digit.

38620 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, 946 + ... + 985.

It is an arithmetic number, because the mean of its divisors is an integer number (6762).

2³⁸⁶²⁰ is an apocalyptic number.

It is an amenable number.

38620 is an abundant number, since it is smaller than the sum of its proper divisors (42524).

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 (40572).

38620 is a wasteful number, since it uses less digits than its factorization.

38620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 38620 is about 196.5197191124. The cubic root of 38620 is about 33.8016128451.

Subtracting from 38620 its reverse (2683), we obtain a cube (35937 = 33³).

It can be divided in two parts, 386 and 20, that added together give a triangular number (406 = T₂₈).

The spelling of 38620 in words is "thirty-eight thousand, six hundred twenty".