3661000 has 64 divisors (see below), whose sum is σ = 9809280. Its totient is φ = 1252800.

The previous prime is 3660961. The next prime is 3661019. The reversal of 3661000 is 1663.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6739 + ... + 7261.

It is an arithmetic number, because the mean of its divisors is an integer number (153270).

Almost surely, 2^3661000 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 3661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904640).

3661000 is an abundant number, since it is smaller than the sum of its proper divisors (6148280).

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

3661000 is a wasteful number, since it uses less digits than its factorization.

3661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 537 counting only the distinct ones).

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

The square root of 3661000 is about 1913.3739833080. The cubic root of 3661000 is about 154.1226885353.

Adding to 3661000 its reverse (1663), we get a palindrome (3662663).

The spelling of 3661000 in words is "three million, six hundred sixty-one thousand".