3268104684100 has 27 divisors (see below), whose sum is σ = 7091826393757. Its totient is φ = 1307234642480.

The previous prime is 3268104684083. The next prime is 3268104684107. The reversal of 3268104684100 is 14864018623.

The square root of 3268104684100 is 1807790.

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., 1176517686276 + 2091586997824 = 1084674^2 + 1446232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3268104684107) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 17987511 + ... + 18168289.

Almost surely, 2^{3268104684100} is an apocalyptic number.

3268104684100 is the 1807790-th square number.

It is an amenable number.

3268104684100 is an abundant number, since it is smaller than the sum of its proper divisors (3823721709657).

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

3268104684100 is an frugal number, since it uses more digits than its factorization.

3268104684100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361572 (or 180786 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 3268104684100 in words is "three trillion, two hundred sixty-eight billion, one hundred four million, six hundred eighty-four thousand, one hundred".