3631830048 has 480 divisors, whose sum is σ = 13769699328. Its totient is φ = 911347200.

The previous prime is 3631829953. The next prime is 3631830067. The reversal of 3631830048 is 8400381363.

It is a happy number.

3631830048 is a `hidden beast` number, since 36 + 318 + 300 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3631829994 and 3631830021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6186811 + ... + 6187397.

Almost surely, 2^3631830048 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 3631830048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884849664).

3631830048 is an abundant number, since it is smaller than the sum of its proper divisors (10137869280).

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

3631830048 is a wasteful number, since it uses less digits than its factorization.

3631830048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3631830048 is about 60264.6666629792. Note that the first 5 decimals coincide. The cubic root of 3631830048 is about 1537.1225924344.

It can be divided in two parts, 36318 and 30048, that added together give a palindrome (66366).

The spelling of 3631830048 in words is "three billion, six hundred thirty-one million, eight hundred thirty thousand, forty-eight".