3235120 has 80 divisors (see below), whose sum is σ = 8838720. Its totient is φ = 1078272.

The previous prime is 3235109. The next prime is 3235121. The reversal of 3235120 is 215323.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3235094 and 3235103.

It is not an unprimeable number, because it can be changed into a prime (3235121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29626 + ... + 29734.

It is an arithmetic number, because the mean of its divisors is an integer number (110484).

Almost surely, 2^3235120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3235120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419360).

3235120 is an abundant number, since it is smaller than the sum of its proper divisors (5603600).

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

3235120 is a wasteful number, since it uses less digits than its factorization.

3235120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 3235120 is about 1798.6439336344. The cubic root of 3235120 is about 147.8983962975.

The spelling of 3235120 in words is "three million, two hundred thirty-five thousand, one hundred twenty".