3628816632 has 128 divisors (see below), whose sum is σ = 11917440000. Its totient is φ = 1001040768.

The previous prime is 3628816621. The next prime is 3628816649. The reversal of 3628816632 is 2366188263.

It is a happy number.

3628816632 is a `hidden beast` number, since 3 + 6 + 2 + 8 + 8 + 1 + 6 + 632 = 666.

3628816632 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2469 + ... + 85227.

It is an arithmetic number, because the mean of its divisors is an integer number (93105000).

Almost surely, 2^3628816632 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 3628816632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958720000).

3628816632 is an abundant number, since it is smaller than the sum of its proper divisors (8288623368).

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

3628816632 is a wasteful number, since it uses less digits than its factorization.

3628816632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82810 (or 82800 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 3628816632 is about 60239.6599591996. The cubic root of 3628816632 is about 1536.6973457099.

The spelling of 3628816632 in words is "three billion, six hundred twenty-eight million, eight hundred sixteen thousand, six hundred thirty-two".