3528320 has 64 divisors (see below), whose sum is σ = 8721000. Its totient is φ = 1363968.

The previous prime is 3528313. The next prime is 3528323. The reversal of 3528320 is 238253.

It can be written as a sum of positive squares in 4 ways, for example, as 2849344 + 678976 = 1688^2 + 824^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3528323) 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, 23606 + ... + 23754.

Almost surely, 2^3528320 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 3528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360500).

3528320 is an abundant number, since it is smaller than the sum of its proper divisors (5192680).

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

3528320 is a wasteful number, since it uses less digits than its factorization.

3528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 3528320 is about 1878.3822827103. The cubic root of 3528320 is about 152.2378547495.

The spelling of 3528320 in words is "three million, five hundred twenty-eight thousand, three hundred twenty".