3528800 has 72 divisors (see below), whose sum is σ = 9421272. Its totient is φ = 1280000.

The previous prime is 3528799. The next prime is 3528803. The reversal of 3528800 is 88253.

It is a self number, because there is not a number n which added to its sum of digits gives 3528800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3528803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8600 + ... + 9000.

It is an arithmetic number, because the mean of its divisors is an integer number (130851).

Almost surely, 2^3528800 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 3528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4710636).

3528800 is an abundant number, since it is smaller than the sum of its proper divisors (5892472).

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

3528800 is a wasteful number, since it uses less digits than its factorization.

3528800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 3528800 is about 1878.5100478837. The cubic root of 3528800 is about 152.2447580214.

It can be divided in two parts, 3528 and 800, that multiplied together give a square (2822400 = 1680²).

The spelling of 3528800 in words is "three million, five hundred twenty-eight thousand, eight hundred".