3382560 has 168 divisors, whose sum is σ = 12394620. Its totient is φ = 870912.

The previous prime is 3382549. The next prime is 3382571. The reversal of 3382560 is 652833.

It is an interprime number because it is at equal distance from previous prime (3382549) and next prime (3382571).

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 11664 = 1836^2 + 108^2 .

It is a super-2 number, since 2×3382560² = 22883424307200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116626 + ... + 116654.

Almost surely, 2^3382560 is an apocalyptic number.

3382560 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 3382560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197310).

3382560 is an abundant number, since it is smaller than the sum of its proper divisors (9012060).

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

3382560 is an equidigital number, since it uses as much as digits as its factorization.

3382560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 39 counting only the distinct ones).

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

The square root of 3382560 is about 1839.1737275201. The cubic root of 3382560 is about 150.1119164772. Note that the first 3 decimals are identical.

The spelling of 3382560 in words is "three million, three hundred eighty-two thousand, five hundred sixty".