3642218208 has 144 divisors (see below), whose sum is σ = 10685001600. Its totient is φ = 1176295680.

The previous prime is 3642218189. The next prime is 3642218213. The reversal of 3642218208 is 8028122463.

3642218208 is a `hidden beast` number, since 3 + 642 + 2 + 1 + 8 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1204923 + ... + 1207941.

It is an arithmetic number, because the mean of its divisors is an integer number (74201400).

Almost surely, 2^3642218208 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 3642218208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5342500800).

3642218208 is an abundant number, since it is smaller than the sum of its proper divisors (7042783392).

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

3642218208 is a wasteful number, since it uses less digits than its factorization.

3642218208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3642218208 is about 60350.7929359673. The cubic root of 3642218208 is about 1538.5867464107.

The spelling of 3642218208 in words is "three billion, six hundred forty-two million, two hundred eighteen thousand, two hundred eight".