3662217216 has 204 divisors, whose sum is σ = 12104668992. Its totient is φ = 1045168128.

The previous prime is 3662217199. The next prime is 3662217227. The reversal of 3662217216 is 6127122663.

3662217216 is a `hidden beast` number, since 3 + 6 + 622 + 1 + 7 + 21 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4128325 + ... + 4129211.

Almost surely, 2^3662217216 is an apocalyptic number.

3662217216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3662217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6052334496).

3662217216 is an abundant number, since it is smaller than the sum of its proper divisors (8442451776).

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

3662217216 is an frugal number, since it uses more digits than its factorization.

3662217216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 899 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3662217216 is about 60516.2557995783. The cubic root of 3662217216 is about 1541.3976764073.

Adding to 3662217216 its reverse (6127122663), we get a palindrome (9789339879).

The spelling of 3662217216 in words is "three billion, six hundred sixty-two million, two hundred seventeen thousand, two hundred sixteen".