3536000 has 128 divisors (see below), whose sum is σ = 10024560. Its totient is φ = 1228800.

The previous prime is 3535993. The next prime is 3536009. The reversal of 3536000 is 6353.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 61504 + 3474496 = 248^2 + 1864^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 3536000.

It is not an unprimeable number, because it can be changed into a prime (3536009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207992 + ... + 208008.

Almost surely, 2^3536000 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 3536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012280).

3536000 is an abundant number, since it is smaller than the sum of its proper divisors (6488560).

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

3536000 is a wasteful number, since it uses less digits than its factorization.

3536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 3536000 is about 1880.4254837669. The cubic root of 3536000 is about 152.3482320619.

The spelling of 3536000 in words is "three million, five hundred thirty-six thousand".