3585420 has 36 divisors (see below), whose sum is σ = 10876320. Its totient is φ = 956064.

The previous prime is 3585403. The next prime is 3585443. The reversal of 3585420 is 245853.

It is a tau number, because it is divible by the number of its divisors (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, 9780 + ... + 10139.

It is an arithmetic number, because the mean of its divisors is an integer number (302120).

Almost surely, 2^3585420 is an apocalyptic number.

3585420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3585420 is an abundant number, since it is smaller than the sum of its proper divisors (7290900).

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

3585420 is a wasteful number, since it uses less digits than its factorization.

3585420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19934 (or 19929 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3585420 is about 1893.5205306518. The cubic root of 3585420 is about 153.0547029820.

It can be divided in two parts, 3585 and 420, that added together give a triangular number (4005 = T₈₉).

The spelling of 3585420 in words is "three million, five hundred eighty-five thousand, four hundred twenty".