3282144100 has 81 divisors (see below), whose sum is σ = 7588370433. Its totient is φ = 1231964160.

The previous prime is 3282144097. The next prime is 3282144121. The reversal of 3282144100 is 14412823.

The square root of 3282144100 is 57290.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1921419556 + 1360724544 = 43834^2 + 36888^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9739132 + ... + 9739468.

Almost surely, 2^3282144100 is an apocalyptic number.

3282144100 is the 57290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3282144100

3282144100 is an abundant number, since it is smaller than the sum of its proper divisors (4306226333).

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

3282144100 is a wasteful number, since it uses less digits than its factorization.

3282144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The cubic root of 3282144100 is about 1486.1154463618.

Multiplying 3282144100 by its sum of digits (25), we get a square (82053602500 = 286450²).

3282144100 divided by its sum of digits (25) gives a square (131285764 = 11458²).

Adding to 3282144100 its reverse (14412823), we get a palindrome (3296556923).

The spelling of 3282144100 in words is "three billion, two hundred eighty-two million, one hundred forty-four thousand, one hundred".