3261383164900 has 81 divisors (see below), whose sum is σ = 8232982052169. Its totient is φ = 1118145171360.

The previous prime is 3261383164867. The next prime is 3261383164901. The reversal of 3261383164900 is 94613831623.

The square root of 3261383164900 is 1805930.

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., 1174097939364 + 2087285225536 = 1083558^2 + 1444744^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3261383164901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 126402201 + ... + 126427999.

Almost surely, 2^{3261383164900} is an apocalyptic number.

3261383164900 is the 1805930-th square number.

It is an amenable number.

3261383164900 is an abundant number, since it is smaller than the sum of its proper divisors (4971598887269).

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

3261383164900 is an frugal number, since it uses more digits than its factorization.

3261383164900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51626 (or 25813 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 3261383164900 in words is "three trillion, two hundred sixty-one billion, three hundred eighty-three million, one hundred sixty-four thousand, nine hundred".