3528000 has 252 divisors, whose sum is σ = 14680692. Its totient is φ = 806400.

The previous prime is 3527983. The next prime is 3528001. The reversal of 3528000 is 8253.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 3415104 = 336^2 + 1848^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3528001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 503997 + ... + 504003.

Almost surely, 2^3528000 is an apocalyptic number.

3528000 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 3528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340346).

3528000 is an abundant number, since it is smaller than the sum of its proper divisors (11152692).

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

3528000 is a wasteful number, since it uses less digits than its factorization.

3528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3528000 is about 1878.2971010998. The cubic root of 3528000 is about 152.2332522204.

The spelling of 3528000 in words is "three million, five hundred twenty-eight thousand".