3365880 has 64 divisors (see below), whose sum is σ = 11543040. Its totient is φ = 769152.

The previous prime is 3365867. The next prime is 3365893. The reversal of 3365880 is 885633.

It is an interprime number because it is at equal distance from previous prime (3365867) and next prime (3365893).

It is a super-2 number, since 2×3365880² = 22658296348800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1164 + ... + 2843.

It is an arithmetic number, because the mean of its divisors is an integer number (180360).

Almost surely, 2^3365880 is an apocalyptic number.

3365880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3365880 is an abundant number, since it is smaller than the sum of its proper divisors (8177160).

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

3365880 is a wasteful number, since it uses less digits than its factorization.

3365880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 3365880 is about 1834.6334783820. The cubic root of 3365880 is about 149.8647670058.

It can be divided in two parts, 336 and 5880, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 3365880 in words is "three million, three hundred sixty-five thousand, eight hundred eighty".