3528576 has 64 divisors (see below), whose sum is σ = 10424400. Its totient is φ = 1175040.

The previous prime is 3528563. The next prime is 3528587. The reversal of 3528576 is 6758253.

3528576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3528576.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2946 + ... + 3966.

Almost surely, 2^3528576 is an apocalyptic number.

3528576 is a gapful number since it is divisible by the number (36) 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 3528576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212200).

3528576 is an abundant number, since it is smaller than the sum of its proper divisors (6895824).

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

3528576 is a wasteful number, since it uses less digits than its factorization.

3528576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1026 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 3528576 is about 1878.4504252176. The cubic root of 3528576 is about 152.2415365724.

The spelling of 3528576 in words is "three million, five hundred twenty-eight thousand, five hundred seventy-six".