3626000 has 120 divisors (see below), whose sum is σ = 10474776. Its totient is φ = 1209600.

The previous prime is 3625997. The next prime is 3626009. The reversal of 3626000 is 6263.

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 3625216 = 28^2 + 1904^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3626000.

It is not an unprimeable number, because it can be changed into a prime (3626009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97982 + ... + 98018.

Almost surely, 2^3626000 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 3626000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5237388).

3626000 is an abundant number, since it is smaller than the sum of its proper divisors (6848776).

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

3626000 is a wasteful number, since it uses less digits than its factorization.

3626000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3626000 is about 1904.2058712230. The cubic root of 3626000 is about 153.6299655802.

The spelling of 3626000 in words is "three million, six hundred twenty-six thousand".