3564000 has 240 divisors, whose sum is σ = 14270256. Its totient is φ = 864000.

The previous prime is 3563993. The next prime is 3564017. The reversal of 3564000 is 4653.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323995 + ... + 324005.

Almost surely, 2^3564000 is an apocalyptic number.

3564000 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 3564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7135128).

3564000 is an abundant number, since it is smaller than the sum of its proper divisors (10706256).

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

3564000 is a wasteful number, since it uses less digits than its factorization.

3564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3564000 is about 1887.8559267063. The cubic root of 3564000 is about 152.7493010898.

Adding to 3564000 its reverse (4653), we get a palindrome (3568653).

It can be divided in two parts, 356 and 4000, that added together give a square (4356 = 66²).

The spelling of 3564000 in words is "three million, five hundred sixty-four thousand".