3528960 has 72 divisors (see below), whose sum is σ = 11282880. Its totient is φ = 940032.

The previous prime is 3528907. The next prime is 3528961. The reversal of 3528960 is 698253.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3528961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3381 + ... + 4299.

Almost surely, 2^3528960 is an apocalyptic number.

3528960 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 3528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641440).

3528960 is an abundant number, since it is smaller than the sum of its proper divisors (7753920).

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

3528960 is an equidigital number, since it uses as much as digits as its factorization.

3528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 3528960 is about 1878.5526343438. The cubic root of 3528960 is about 152.2470589729.

The spelling of 3528960 in words is "three million, five hundred twenty-eight thousand, nine hundred sixty".