38950 has 24 divisors (see below), whose sum is σ = 78120. Its totient is φ = 14400.

The previous prime is 38933. The next prime is 38953. The reversal of 38950 is 5983.

38950 is nontrivially palindromic in base 4.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930 + ... + 970.

It is an arithmetic number, because the mean of its divisors is an integer number (3255).

2³⁸⁹⁵⁰ is an apocalyptic number.

38950 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (39060).

38950 is a wasteful number, since it uses less digits than its factorization.

38950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 38950 is about 197.3575435599. The cubic root of 38950 is about 33.8976158758.

It can be divided in two parts, 38 and 950, that multiplied together give a square (36100 = 190²).

The spelling of 38950 in words is "thirty-eight thousand, nine hundred fifty".