3530120 has 64 divisors (see below), whose sum is σ = 8864640. Its totient is φ = 1254400.

The previous prime is 3530113. The next prime is 3530159. The reversal of 3530120 is 210353.

It is a junction number, because it is equal to n+sod(n) for n = 3530095 and 3530104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31184 + ... + 31296.

It is an arithmetic number, because the mean of its divisors is an integer number (138510).

Almost surely, 2^3530120 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 3530120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432320).

3530120 is an abundant number, since it is smaller than the sum of its proper divisors (5334520).

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

3530120 is a wasteful number, since it uses less digits than its factorization.

3530120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 3530120 is about 1878.8613573119. The cubic root of 3530120 is about 152.2637387918.

Adding to 3530120 its reverse (210353), we get a palindrome (3740473).

The spelling of 3530120 in words is "three million, five hundred thirty thousand, one hundred twenty".