3221913600 has 576 divisors, whose sum is σ = 12677090400. Its totient is φ = 778567680.

The previous prime is 3221913599. The next prime is 3221913613. The reversal of 3221913600 is 63191223.

3221913600 is a `hidden beast` number, since 32 + 2 + 19 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140083189 + ... + 140083211.

Almost surely, 2^3221913600 is an apocalyptic number.

3221913600 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 3221913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6338545200).

3221913600 is an abundant number, since it is smaller than the sum of its proper divisors (9455176800).

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

3221913600 is a wasteful number, since it uses less digits than its factorization.

3221913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3221913600 is about 56761.9027165228. The cubic root of 3221913600 is about 1476.9687165384.

The spelling of 3221913600 in words is "three billion, two hundred twenty-one million, nine hundred thirteen thousand, six hundred".