3889440 has 144 divisors (see below), whose sum is σ = 13818168. Its totient is φ = 995328.

The previous prime is 3889427. The next prime is 3889441. The reversal of 3889440 is 449883.

It can be written as a sum of positive squares in 4 ways, for example, as 3732624 + 156816 = 1932^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3889395 and 3889404.

It is not an unprimeable number, because it can be changed into a prime (3889441) 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, 53244 + ... + 53316.

Almost surely, 2^3889440 is an apocalyptic number.

3889440 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 3889440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909084).

3889440 is an abundant number, since it is smaller than the sum of its proper divisors (9928728).

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

3889440 is a wasteful number, since it uses less digits than its factorization.

3889440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3889440 is about 1972.1663215865. The cubic root of 3889440 is about 157.2638941556.

The spelling of 3889440 in words is "three million, eight hundred eighty-nine thousand, four hundred forty".