3228626637600 has 1152 divisors, whose sum is σ = 13539093442560. Its totient is φ = 649544417280.

The previous prime is 3228626637571. The next prime is 3228626637647. The reversal of 3228626637600 is 67366268223.

3228626637600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1994209591 + ... + 1994211209.

It is an arithmetic number, because the mean of its divisors is an integer number (11752685280).

Almost surely, 2^{3228626637600} is an apocalyptic number.

3228626637600 is a gapful number since it is divisible by the number (30) 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 3228626637600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769546721280).

3228626637600 is an abundant number, since it is smaller than the sum of its proper divisors (10310466804960).

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

3228626637600 is a wasteful number, since it uses less digits than its factorization.

3228626637600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 3228626637600 in words is "three trillion, two hundred twenty-eight billion, six hundred twenty-six million, six hundred thirty-seven thousand, six hundred".