3385305 has 48 divisors (see below), whose sum is σ = 7323264. Its totient is φ = 1405440.

The previous prime is 3385303. The next prime is 3385313. The reversal of 3385305 is 5035833.

3385305 = T₃₂₃ + T₃₂₄ + ... + T₃₇₇.

It is not a de Polignac number, because 3385305 - 2¹ = 3385303 is a prime.

It is a super-2 number, since 2×3385305² = 22920579886050, which contains 22 as substring.

It is a Curzon number.

3385305 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3385303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2977 + ... + 3953.

It is an arithmetic number, because the mean of its divisors is an integer number (152568).

Almost surely, 2^3385305 is an apocalyptic number.

3385305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3385305 is an abundant number, since it is smaller than the sum of its proper divisors (3937959).

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

3385305 is a wasteful number, since it uses less digits than its factorization.

3385305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3385305 is about 1839.9198352102. The cubic root of 3385305 is about 150.1525115490.

The spelling of 3385305 in words is "three million, three hundred eighty-five thousand, three hundred five".