38720 has 42 divisors (see below), whose sum is σ = 101346. Its totient is φ = 14080.

The previous prime is 38713. The next prime is 38723. The reversal of 38720 is 2783.

38720 = T₃₁ + T₃₂ + ... + T₆₃.

It can be written as a sum of positive squares in only one way, i.e., 30976 + 7744 = 176^2 + 88^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 38692 and 38701.

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 38720.

It is not an unprimeable number, because it can be changed into a prime (38723) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3515 + ... + 3525.

It is an arithmetic number, because the mean of its divisors is an integer number (2413).

2³⁸⁷²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50673).

38720 is an abundant number, since it is smaller than the sum of its proper divisors (62626).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38720 is a wasteful number, since it uses less digits than its factorization.

38720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 38720 is about 196.7739820200. The cubic root of 38720 is about 33.8307622325.

Multiplying 38720 by its sum of digits (20), we get a square (774400 = 880²).

38720 divided by its sum of digits (20) gives a square (1936 = 44²).

Subtracting from 38720 its reverse (2783), we obtain a cube (35937 = 33³).

The spelling of 38720 in words is "thirty-eight thousand, seven hundred twenty".