3281568480100 has 81 divisors (see below), whose sum is σ = 7192425343467. Its totient is φ = 1299591766080.

The previous prime is 3281568480083. The next prime is 3281568480103. The reversal of 3281568480100 is 10848651823.

The square root of 3281568480100 is 1811510.

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

It can be written as a sum of positive squares in 4 ways, for example, as 220244367204 + 3061324112896 = 469302^2 + 1749664^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3281568480103) 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, 1938314854 + ... + 1938316546.

Almost surely, 2^{3281568480100} is an apocalyptic number.

3281568480100 is the 1811510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3281568480100

3281568480100 is an abundant number, since it is smaller than the sum of its proper divisors (3910856863367).

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

3281568480100 is an equidigital number, since it uses as much as digits as its factorization.

3281568480100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The spelling of 3281568480100 in words is "three trillion, two hundred eighty-one billion, five hundred sixty-eight million, four hundred eighty thousand, one hundred".