3646000 has 40 divisors (see below), whose sum is σ = 8820864. Its totient is φ = 1457600.

The previous prime is 3645997. The next prime is 3646001. The reversal of 3646000 is 6463.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3646001) 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, 1089 + ... + 2911.

Almost surely, 2^3646000 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 3646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410432).

3646000 is an abundant number, since it is smaller than the sum of its proper divisors (5174864).

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

3646000 is a wasteful number, since it uses less digits than its factorization.

3646000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3646000 is about 1909.4501826442. The cubic root of 3646000 is about 153.9119077902.

The spelling of 3646000 in words is "three million, six hundred forty-six thousand".