3288544416 has 72 divisors (see below), whose sum is σ = 9758417760. Its totient is φ = 1048519296.

The previous prime is 3288544409. The next prime is 3288544421. The reversal of 3288544416 is 6144458823.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241606 + ... + 254853.

It is an arithmetic number, because the mean of its divisors is an integer number (135533580).

Almost surely, 2^3288544416 is an apocalyptic number.

3288544416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3288544416 is an abundant number, since it is smaller than the sum of its proper divisors (6469873344).

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

3288544416 is a wasteful number, since it uses less digits than its factorization.

3288544416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496498 (or 496487 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 3288544416 is about 57345.8317229770. The cubic root of 3288544416 is about 1487.0808145472.

The spelling of 3288544416 in words is "three billion, two hundred eighty-eight million, five hundred forty-four thousand, four hundred sixteen".