3633363328 has 64 divisors (see below), whose sum is σ = 8441316000. Its totient is φ = 1557136896.

The previous prime is 3633363319. The next prime is 3633363329. The reversal of 3633363328 is 8233633363.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3633363329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2526 + ... + 85282.

Almost surely, 2^3633363328 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 3633363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220658000).

3633363328 is an abundant number, since it is smaller than the sum of its proper divisors (4807952672).

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

3633363328 is an frugal number, since it uses more digits than its factorization.

3633363328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82792 (or 82766 counting only the distinct ones).

The product of its digits is 419904, while the sum is 40.

The square root of 3633363328 is about 60277.3865392321. The cubic root of 3633363328 is about 1537.3388752914.

The spelling of 3633363328 in words is "three billion, six hundred thirty-three million, three hundred sixty-three thousand, three hundred twenty-eight".