3342240 has 144 divisors (see below), whose sum is σ = 12501216. Its totient is φ = 806400.

The previous prime is 3342239. The next prime is 3342257. The reversal of 3342240 is 422433.

3342240 = 219² + 220² + ... + 273².

3342240 is nontrivially palindromic in base 14.

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

It is a super-2 number, since 2×3342240² = 22341136435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15735 + ... + 15945.

It is an arithmetic number, because the mean of its divisors is an integer number (86814).

Almost surely, 2^3342240 is an apocalyptic number.

3342240 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 3342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6250608).

3342240 is an abundant number, since it is smaller than the sum of its proper divisors (9158976).

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

3342240 is a wasteful number, since it uses less digits than its factorization.

3342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3342240 is about 1828.1794222669. The cubic root of 3342240 is about 149.5130878204.

Adding to 3342240 its reverse (422433), we get a palindrome (3764673).

It can be divided in two parts, 3 and 342240, that added together give a palindrome (342243).

The spelling of 3342240 in words is "three million, three hundred forty-two thousand, two hundred forty".