3273217344 has 112 divisors (see below), whose sum is σ = 9682520640. Its totient is φ = 1084285440.

The previous prime is 3273217309. The next prime is 3273217369. The reversal of 3273217344 is 4437123723.

3273217344 is a `hidden beast` number, since 32 + 73 + 217 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3273217299 and 3273217308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275854 + ... + 287474.

Almost surely, 2^3273217344 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 3273217344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841260320).

3273217344 is an abundant number, since it is smaller than the sum of its proper divisors (6409303296).

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

3273217344 is a wasteful number, since it uses less digits than its factorization.

3273217344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11805 (or 11789 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 3273217344 is about 57212.0384534584. The cubic root of 3273217344 is about 1484.7669137278.

The spelling of 3273217344 in words is "three billion, two hundred seventy-three million, two hundred seventeen thousand, three hundred forty-four".