3630784480 has 192 divisors, whose sum is σ = 9492940800. Its totient is φ = 1306920960.

The previous prime is 3630784403. The next prime is 3630784481. The reversal of 3630784480 is 844870363.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3630784481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5559834 + ... + 5560486.

It is an arithmetic number, because the mean of its divisors is an integer number (49442400).

Almost surely, 2^3630784480 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 3630784480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746470400).

3630784480 is an abundant number, since it is smaller than the sum of its proper divisors (5862156320).

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

3630784480 is a wasteful number, since it uses less digits than its factorization.

3630784480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The square root of 3630784480 is about 60255.9912373865. The cubic root of 3630784480 is about 1536.9750708060.

The spelling of 3630784480 in words is "three billion, six hundred thirty million, seven hundred eighty-four thousand, four hundred eighty".