3287012512144 has 45 divisors (see below), whose sum is σ = 6395296251139. Its totient is φ = 1636642192640.

The previous prime is 3287012512141. The next prime is 3287012512169. The reversal of 3287012512144 is 4412152107823.

The square root of 3287012512144 is 1813012.

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 297875808400 + 2989136703744 = 545780^2 + 1728912^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3287012512097 and 3287012512106.

It is not an unprimeable number, because it can be changed into a prime (3287012512141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2037824682 + ... + 2037826294.

Almost surely, 2^{3287012512144} is an apocalyptic number.

3287012512144 is the 1813012-nd square number.

It is an amenable number.

3287012512144 is a deficient number, since it is larger than the sum of its proper divisors (3108283738995).

3287012512144 is an frugal number, since it uses more digits than its factorization.

3287012512144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

Adding to 3287012512144 its reverse (4412152107823), we get a palindrome (7699164619967).

The spelling of 3287012512144 in words is "three trillion, two hundred eighty-seven billion, twelve million, five hundred twelve thousand, one hundred forty-four".