3621637008 has 240 divisors, whose sum is σ = 11600061120. Its totient is φ = 1086151680.

The previous prime is 3621637003. The next prime is 3621637009. The reversal of 3621637008 is 8007361263.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3621637003) 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, 37336416 + ... + 37336512.

It is an arithmetic number, because the mean of its divisors is an integer number (48333588).

Almost surely, 2^3621637008 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 3621637008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800030560).

3621637008 is an abundant number, since it is smaller than the sum of its proper divisors (7978424112).

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

3621637008 is an frugal number, since it uses more digits than its factorization.

3621637008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 113 counting only the distinct ones).

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

The square root of 3621637008 is about 60180.0382851324. The cubic root of 3621637008 is about 1535.6832232483.

The spelling of 3621637008 in words is "three billion, six hundred twenty-one million, six hundred thirty-seven thousand, eight".