3385620 has 72 divisors (see below), whose sum is σ = 11741184. Its totient is φ = 773568.

The previous prime is 3385609. The next prime is 3385633. The reversal of 3385620 is 265833.

3385620 is a `hidden beast` number, since 3 + 38 + 5 + 620 = 666.

It is a super-2 number, since 2×3385620² = 22924845568800, 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 23 ways as a sum of consecutive naturals, for example, 84 + ... + 2603.

It is an arithmetic number, because the mean of its divisors is an integer number (163072).

Almost surely, 2^3385620 is an apocalyptic number.

3385620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3385620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870592).

3385620 is an abundant number, since it is smaller than the sum of its proper divisors (8355564).

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

3385620 is a wasteful number, since it uses less digits than its factorization.

3385620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3385620 is about 1840.0054347746. The cubic root of 3385620 is about 150.1571685960.

Subtracting from 3385620 its product of nonzero digits (4320), we obtain a triangular number (3381300 = T₂₆₀₀).

It can be divided in two parts, 3385 and 620, that added together give a triangular number (4005 = T₈₉).

The spelling of 3385620 in words is "three million, three hundred eighty-five thousand, six hundred twenty".