3629540208 has 240 divisors, whose sum is σ = 11810244096. Its totient is φ = 938995200.

The previous prime is 3629540207. The next prime is 3629540221. The reversal of 3629540208 is 8020459263.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3629540207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2789158 + ... + 2790458.

Almost surely, 2^3629540208 is an apocalyptic number.

3629540208 is a gapful number since it is divisible by the number (38) 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 3629540208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905122048).

3629540208 is an abundant number, since it is smaller than the sum of its proper divisors (8180703888).

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

3629540208 is a wasteful number, since it uses less digits than its factorization.

3629540208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3629540208 is about 60245.6654706378. The cubic root of 3629540208 is about 1536.7994766555.

The spelling of 3629540208 in words is "three billion, six hundred twenty-nine million, five hundred forty thousand, two hundred eight".