39900 has 72 divisors (see below), whose sum is σ = 138880. Its totient is φ = 8640.

The previous prime is 39887. The next prime is 39901. The reversal of 39900 is 993.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2091 + ... + 2109.

2³⁹⁹⁰⁰ is an apocalyptic number.

39900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69440).

39900 is an abundant number, since it is smaller than the sum of its proper divisors (98980).

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

39900 is a wasteful number, since it uses less digits than its factorization.

39900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 21.

The square root of 39900 is about 199.7498435544. The cubic root of 39900 is about 34.1709955517.

It can be divided in two parts, 39 and 900, that added together give a palindrome (939).

The spelling of 39900 in words is "thirty-nine thousand, nine hundred".