3388640 has 24 divisors (see below), whose sum is σ = 8006040. Its totient is φ = 1355392.

The previous prime is 3388589. The next prime is 3388643. The reversal of 3388640 is 468833.

3388640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3388640² = 22965762099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3388597 and 3388606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3388643) 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 3 ways as a sum of consecutive naturals, for example, 10430 + ... + 10749.

It is an arithmetic number, because the mean of its divisors is an integer number (333585).

Almost surely, 2^3388640 is an apocalyptic number.

It is an amenable number.

3388640 is an abundant number, since it is smaller than the sum of its proper divisors (4617400).

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

3388640 is a wasteful number, since it uses less digits than its factorization.

3388640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21194 (or 21186 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 3388640 is about 1840.8259015996. The cubic root of 3388640 is about 150.2018024574.

The spelling of 3388640 in words is "three million, three hundred eighty-eight thousand, six hundred forty".