3213880852900 has 81 divisors (see below), whose sum is σ = 7207596602913. Its totient is φ = 1243867783200.

The previous prime is 3213880852879. The next prime is 3213880852933. The reversal of 3213880852900 is 92580883123.

The square root of 3213880852900 is 1792730.

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

It can be written as a sum of positive squares in only one way, i.e., 1156997107044 + 2056883745856 = 1075638^2 + 1434184^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 555743409 + ... + 555749191.

Almost surely, 2^{3213880852900} is an apocalyptic number.

3213880852900 is the 1792730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213880852900

3213880852900 is an abundant number, since it is smaller than the sum of its proper divisors (3993715750013).

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

3213880852900 is an frugal number, since it uses more digits than its factorization.

3213880852900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11642 (or 5821 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

Multiplying 3213880852900 by its sum of digits (49), we get a square (157480161792100 = 12549110²).

The spelling of 3213880852900 in words is "three trillion, two hundred thirteen billion, eight hundred eighty million, eight hundred fifty-two thousand, nine hundred".