3386560 has 56 divisors (see below), whose sum is σ = 8503920. Its totient is φ = 1281024.

The previous prime is 3386557. The next prime is 3386563. The reversal of 3386560 is 656833.

It is an interprime number because it is at equal distance from previous prime (3386557) and next prime (3386563).

It is a super-2 number, since 2×3386560² = 22937577267200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5802 + ... + 6358.

Almost surely, 2^3386560 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 3386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251960).

3386560 is an abundant number, since it is smaller than the sum of its proper divisors (5117360).

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

3386560 is a wasteful number, since it uses less digits than its factorization.

3386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 3386560 is about 1840.2608510752. The cubic root of 3386560 is about 150.1710640989.

The spelling of 3386560 in words is "three million, three hundred eighty-six thousand, five hundred sixty".