3889600 has 168 divisors, whose sum is σ = 11905488. Its totient is φ = 1228800.

The previous prime is 3889591. The next prime is 3889607. The reversal of 3889600 is 69883.

3889600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3889607) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 228792 + ... + 228808.

It is an arithmetic number, because the mean of its divisors is an integer number (70866).

Almost surely, 2^3889600 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 3889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952744).

3889600 is an abundant number, since it is smaller than the sum of its proper divisors (8015888).

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

3889600 is a wasteful number, since it uses less digits than its factorization.

3889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 3889600 is about 1972.2068856994. The cubic root of 3889600 is about 157.2660505824.

It can be divided in two parts, 3889 and 600, that added together give a square (4489 = 67²).

The spelling of 3889600 in words is "three million, eight hundred eighty-nine thousand, six hundred".