3420288 has 48 divisors (see below), whose sum is σ = 9845550. Its totient is φ = 1139712.

The previous prime is 3420271. The next prime is 3420293. The reversal of 3420288 is 8820243.

It can be written as a sum of positive squares in only one way, i.e., 3415104 + 5184 = 1848^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 333 + ... + 2636.

Almost surely, 2^3420288 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 3420288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922775).

3420288 is an abundant number, since it is smaller than the sum of its proper divisors (6425262).

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

3420288 is a wasteful number, since it uses less digits than its factorization.

3420288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3420288 is about 1849.4020655336. The cubic root of 3420288 is about 150.6679544969.

The spelling of 3420288 in words is "three million, four hundred twenty thousand, two hundred eighty-eight".