3225144035344 has 80 divisors (see below), whose sum is σ = 7794457122816. Its totient is φ = 1255928745600.

The previous prime is 3225144035237. The next prime is 3225144035371. The reversal of 3225144035344 is 4435304415223.

It is a junction number, because it is equal to n+sod(n) for n = 3225144035297 and 3225144035306.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1851529 + ... + 3142999.

Almost surely, 2^{3225144035344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3225144035344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897228561408).

3225144035344 is an abundant number, since it is smaller than the sum of its proper divisors (4569313087472).

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

3225144035344 is a wasteful number, since it uses less digits than its factorization.

3225144035344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293524 (or 1293518 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

The spelling of 3225144035344 in words is "three trillion, two hundred twenty-five billion, one hundred forty-four million, thirty-five thousand, three hundred forty-four".