3658000 has 80 divisors (see below), whose sum is σ = 9285120. Its totient is φ = 1392000.

The previous prime is 3657977. The next prime is 3658001. The reversal of 3658000 is 8563.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3658001) 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, 61971 + ... + 62029.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

Almost surely, 2^3658000 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 3658000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642560).

3658000 is an abundant number, since it is smaller than the sum of its proper divisors (5627120).

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

3658000 is a wasteful number, since it uses less digits than its factorization.

3658000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 3658000 is about 1912.5898671696. The cubic root of 3658000 is about 154.0805785090.

The spelling of 3658000 in words is "three million, six hundred fifty-eight thousand".