3616000 has 72 divisors (see below), whose sum is σ = 9087624. Its totient is φ = 1433600.

The previous prime is 3615977. The next prime is 3616001. The reversal of 3616000 is 6163.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 952576 + 2663424 = 976^2 + 1632^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3616001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31944 + ... + 32056.

It is an arithmetic number, because the mean of its divisors is an integer number (126217).

Almost surely, 2^3616000 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 3616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543812).

3616000 is an abundant number, since it is smaller than the sum of its proper divisors (5471624).

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

3616000 is an equidigital number, since it uses as much as digits as its factorization.

3616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3616000 is about 1901.5782918408. The cubic root of 3616000 is about 153.4886055762.

The spelling of 3616000 in words is "three million, six hundred sixteen thousand".