3386960 has 20 divisors (see below), whose sum is σ = 7874868. Its totient is φ = 1354752.

The previous prime is 3386951. The next prime is 3386983. The reversal of 3386960 is 696833.

3386960 = T₄₄₄ + T₄₄₅ + ... + T₄₇₅.

3386960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2050624 + 1336336 = 1432^2 + 1156^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×3386960² = 22942996083200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3386960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21089 + ... + 21248.

Almost surely, 2^3386960 is an apocalyptic number.

It is an amenable number.

3386960 is an abundant number, since it is smaller than the sum of its proper divisors (4487908).

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

3386960 is a wasteful number, since it uses less digits than its factorization.

3386960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42350 (or 42344 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 3386960 is about 1840.3695281111. The cubic root of 3386960 is about 150.1769762990.

The spelling of 3386960 in words is "three million, three hundred eighty-six thousand, nine hundred sixty".