3244213368900 has 567 divisors, whose sum is σ = 12291262801671. Its totient is φ = 740756378880.

The previous prime is 3244213368881. The next prime is 3244213368973. The reversal of 3244213368900 is 98633124423.

The square root of 3244213368900 is 1801170.

It is a perfect power (a square), and thus also a powerful number.

3244213368900 is a `hidden beast` number, since 32 + 44 + 213 + 368 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 162671862276 + 3081541506624 = 403326^2 + 1755432^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 3404210824 + ... + 3404211776.

Almost surely, 2^{3244213368900} is an apocalyptic number.

3244213368900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3244213368900 is the 1801170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3244213368900

3244213368900 is an abundant number, since it is smaller than the sum of its proper divisors (9047049432771).

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

3244213368900 is an frugal number, since it uses more digits than its factorization.

3244213368900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 3244213368900 in words is "three trillion, two hundred forty-four billion, two hundred thirteen million, three hundred sixty-eight thousand, nine hundred".