3623218368 has 336 divisors, whose sum is σ = 12297729024. Its totient is φ = 930908160.

The previous prime is 3623218367. The next prime is 3623218393. The reversal of 3623218368 is 8638123263.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3623218368² = 26255422684425166848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (3623218363) 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 47 ways as a sum of consecutive naturals, for example, 16247505 + ... + 16247727.

It is an arithmetic number, because the mean of its divisors is an integer number (36600384).

Almost surely, 2^3623218368 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 3623218368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148864512).

3623218368 is an abundant number, since it is smaller than the sum of its proper divisors (8674510656).

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

3623218368 is a wasteful number, since it uses less digits than its factorization.

3623218368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 403 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 3623218368 is about 60193.1754271196. The cubic root of 3623218368 is about 1535.9067054880.

The spelling of 3623218368 in words is "three billion, six hundred twenty-three million, two hundred eighteen thousand, three hundred sixty-eight".