3642210 has 96 divisors (see below), whose sum is σ = 11164608. Its totient is φ = 812160.

The previous prime is 3642209. The next prime is 3642227. The reversal of 3642210 is 122463.

It is a happy number.

3642210 is a `hidden beast` number, since 3 + 642 + 21 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12729 + ... + 13011.

It is an arithmetic number, because the mean of its divisors is an integer number (116298).

Almost surely, 2^3642210 is an apocalyptic number.

3642210 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582304).

3642210 is an abundant number, since it is smaller than the sum of its proper divisors (7522398).

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

3642210 is a wasteful number, since it uses less digits than its factorization.

3642210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3642210 is about 1908.4574923220. The cubic root of 3642210 is about 153.8585590638.

Adding to 3642210 its reverse (122463), we get a palindrome (3764673).

The spelling of 3642210 in words is "three million, six hundred forty-two thousand, two hundred ten".