3642066 has 48 divisors (see below), whose sum is σ = 8356608. Its totient is φ = 1144800.

The previous prime is 3642061. The next prime is 3642101. The reversal of 3642066 is 6602463.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3642061) 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, 33985 + ... + 34091.

It is an arithmetic number, because the mean of its divisors is an integer number (174096).

Almost surely, 2^3642066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178304).

3642066 is an abundant number, since it is smaller than the sum of its proper divisors (4714542).

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

3642066 is a wasteful number, since it uses less digits than its factorization.

3642066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3642066 is about 1908.4197651460. The cubic root of 3642066 is about 153.8565313641.

The spelling of 3642066 in words is "three million, six hundred forty-two thousand, sixty-six".