3536800 has 36 divisors (see below), whose sum is σ = 8636166. Its totient is φ = 1414400.

The previous prime is 3536791. The next prime is 3536801. The reversal of 3536800 is 86353.

It can be written as a sum of positive squares in 3 ways, for example, as 3111696 + 425104 = 1764^2 + 652^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3536801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1411 + ... + 3010.

Almost surely, 2^3536800 is an apocalyptic number.

It is an amenable number.

3536800 is an abundant number, since it is smaller than the sum of its proper divisors (5099366).

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

3536800 is a wasteful number, since it uses less digits than its factorization.

3536800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 3536800 is about 1880.6381895516. The cubic root of 3536800 is about 152.3597205041.

The spelling of 3536800 in words is "three million, five hundred thirty-six thousand, eight hundred".