39440000 has 160 divisors (see below), whose sum is σ = 107543700. Its totient is φ = 14336000.

The previous prime is 39439951. The next prime is 39440041. The reversal of 39440000 is 4493.

It can be written as a sum of positive squares in 10 ways, for example, as 602176 + 38837824 = 776^2 + 6232^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1359986 + ... + 1360014.

Almost surely, 2^39440000 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 39440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53771850).

39440000 is an abundant number, since it is smaller than the sum of its proper divisors (68103700).

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

39440000 is an equidigital number, since it uses as much as digits as its factorization.

39440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 39440000 is about 6280.1273872430. The cubic root of 39440000 is about 340.3917054155.

Adding to 39440000 its reverse (4493), we get a palindrome (39444493).

The spelling of 39440000 in words is "thirty-nine million, four hundred forty thousand".