3633626828832 has 1728 divisors, whose sum is σ = 13791807187200. Its totient is φ = 831546777600.

The previous prime is 3633626828803. The next prime is 3633626828903. The reversal of 3633626828832 is 2388286263363.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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

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 287 ways as a sum of consecutive naturals, for example, 49775709948 + ... + 49775710020.

It is an arithmetic number, because the mean of its divisors is an integer number (7981369900).

Almost surely, 2^{3633626828832} is an apocalyptic number.

3633626828832 is a gapful number since it is divisible by the number (32) 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 3633626828832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6895903593600).

3633626828832 is an abundant number, since it is smaller than the sum of its proper divisors (10158180358368).

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

3633626828832 is a wasteful number, since it uses less digits than its factorization.

3633626828832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 140 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 60.

The spelling of 3633626828832 in words is "three trillion, six hundred thirty-three billion, six hundred twenty-six million, eight hundred twenty-eight thousand, eight hundred thirty-two".