3552008854800 has 960 divisors, whose sum is σ = 14137929400320. Its totient is φ = 744505344000.

The previous prime is 3552008854787. The next prime is 3552008854829. The reversal of 3552008854800 is 84588002553.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3552008854800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 652820080 + ... + 652825520.

It is an arithmetic number, because the mean of its divisors is an integer number (14727009792).

Almost surely, 2^{3552008854800} is an apocalyptic number.

3552008854800 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 3552008854800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068964700160).

3552008854800 is an abundant number, since it is smaller than the sum of its proper divisors (10585920545520).

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

3552008854800 is a wasteful number, since it uses less digits than its factorization.

3552008854800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 48.

The spelling of 3552008854800 in words is "three trillion, five hundred fifty-two billion, eight million, eight hundred fifty-four thousand, eight hundred".