3385872 has 60 divisors (see below), whose sum is σ = 10832640. Its totient is φ = 967104.

The previous prime is 3385859. The next prime is 3385883. The reversal of 3385872 is 2785833.

It is a super-2 number, since 2×3385872² = 22928258400768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 672 + ... + 2687.

It is an arithmetic number, because the mean of its divisors is an integer number (180544).

Almost surely, 2^3385872 is an apocalyptic number.

It is an amenable number.

3385872 is an abundant number, since it is smaller than the sum of its proper divisors (7446768).

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

3385872 is a wasteful number, since it uses less digits than its factorization.

3385872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3371 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3385872 is about 1840.0739115590. The cubic root of 3385872 is about 150.1608940257.

It can be divided in two parts, 33858 and 72, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 3385872 in words is "three million, three hundred eighty-five thousand, eight hundred seventy-two".