3626664643224 has 256 divisors, whose sum is σ = 11590750080000. Its totient is φ = 1029235673088.

The previous prime is 3626664643223. The next prime is 3626664643237. The reversal of 3626664643224 is 4223464666263.

It is a super-2 number, since 2×3626664643224² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3626664643223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137054107 + ... + 137080565.

It is an arithmetic number, because the mean of its divisors is an integer number (45276367500).

Almost surely, 2^{3626664643224} 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 3626664643224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795375040000).

3626664643224 is an abundant number, since it is smaller than the sum of its proper divisors (7964085436776).

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

3626664643224 is a wasteful number, since it uses less digits than its factorization.

3626664643224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27087 (or 27077 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 54.

The spelling of 3626664643224 in words is "three trillion, six hundred twenty-six billion, six hundred sixty-four million, six hundred forty-three thousand, two hundred twenty-four".