3238560 has 144 divisors (see below), whose sum is σ = 11970504. Its totient is φ = 792576.

The previous prime is 3238553. The next prime is 3238567. The reversal of 3238560 is 658323.

It is an interprime number because it is at equal distance from previous prime (3238553) and next prime (3238567).

It can be written as a sum of positive squares in 4 ways, for example, as 2702736 + 535824 = 1644^2 + 732^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3238567) 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, 18634 + ... + 18806.

Almost surely, 2^3238560 is an apocalyptic number.

3238560 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 3238560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985252).

3238560 is an abundant number, since it is smaller than the sum of its proper divisors (8731944).

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

3238560 is a wasteful number, since it uses less digits than its factorization.

3238560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3238560 is about 1799.5999555457. The cubic root of 3238560 is about 147.9507993262.

The spelling of 3238560 in words is "three million, two hundred thirty-eight thousand, five hundred sixty".