3556224000 has 880 divisors, whose sum is σ = 15455668800. Its totient is φ = 812851200.

The previous prime is 3556223963. The next prime is 3556224019. The reversal of 3556224000 is 4226553.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3556224000 is a `hidden beast` number, since 35 + 5 + 622 + 4 + 0 + 0 + 0 = 666.

3556224000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 508031997 + ... + 508032003.

It is an arithmetic number, because the mean of its divisors is an integer number (17563260).

Almost surely, 2^3556224000 is an apocalyptic number.

3556224000 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 3556224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7727834400).

3556224000 is an abundant number, since it is smaller than the sum of its proper divisors (11899444800).

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

3556224000 is an frugal number, since it uses more digits than its factorization.

3556224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3556224000 is about 59634.0842136441. The cubic root of 3556224000 is about 1526.3812979790.

The spelling of 3556224000 in words is "three billion, five hundred fifty-six million, two hundred twenty-four thousand".