3365840 has 20 divisors (see below), whose sum is σ = 7825764. Its totient is φ = 1346304.

The previous prime is 3365839. The next prime is 3365849. The reversal of 3365840 is 485633.

It can be written as a sum of positive squares in 2 ways, for example, as 529984 + 2835856 = 728^2 + 1684^2 .

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

It is a super-2 number, since 2×3365840² = 22657757811200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3365849) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20957 + ... + 21116.

Almost surely, 2^3365840 is an apocalyptic number.

It is an amenable number.

3365840 is an abundant number, since it is smaller than the sum of its proper divisors (4459924).

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

3365840 is a wasteful number, since it uses less digits than its factorization.

3365840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42086 (or 42080 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 3365840 is about 1834.6225769896. The cubic root of 3365840 is about 149.8641733409.

The spelling of 3365840 in words is "three million, three hundred sixty-five thousand, eight hundred forty".