3585120 has 192 divisors, whose sum is σ = 14224896. Its totient is φ = 737280.

The previous prime is 3585097. The next prime is 3585133. The reversal of 3585120 is 215853.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36912 + ... + 37008.

It is an arithmetic number, because the mean of its divisors is an integer number (74088).

Almost surely, 2^3585120 is an apocalyptic number.

3585120 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 3585120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112448).

3585120 is an abundant number, since it is smaller than the sum of its proper divisors (10639776).

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

3585120 is a wasteful number, since it uses less digits than its factorization.

3585120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 3585120 is about 1893.4413114750. The cubic root of 3585120 is about 153.0504340547.

The spelling of 3585120 in words is "three million, five hundred eighty-five thousand, one hundred twenty".