3638000 has 80 divisors (see below), whose sum is σ = 9401184. Its totient is φ = 1356800.

The previous prime is 3637981. The next prime is 3638003. The reversal of 3638000 is 8363.

3638000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3638003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33947 + ... + 34053.

Almost surely, 2^3638000 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 3638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700592).

3638000 is an abundant number, since it is smaller than the sum of its proper divisors (5763184).

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

3638000 is a wasteful number, since it uses less digits than its factorization.

3638000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3638000 is about 1907.3541883982. The cubic root of 3638000 is about 153.7992549354.

The spelling of 3638000 in words is "three million, six hundred thirty-eight thousand".