3552224776800 has 432 divisors, whose sum is σ = 13575996705600. Its totient is φ = 804346045440.

The previous prime is 3552224776757. The next prime is 3552224776853. The reversal of 3552224776800 is 86774222553.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12442051 + ... + 12724349.

It is an arithmetic number, because the mean of its divisors is an integer number (31425918300).

Almost surely, 2^{3552224776800} is an apocalyptic number.

3552224776800 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 3552224776800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6787998352800).

3552224776800 is an abundant number, since it is smaller than the sum of its proper divisors (10023771928800).

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

3552224776800 is a wasteful number, since it uses less digits than its factorization.

3552224776800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282443 (or 282423 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 51.

The spelling of 3552224776800 in words is "three trillion, five hundred fifty-two billion, two hundred twenty-four million, seven hundred seventy-six thousand, eight hundred".