3332288544 has 96 divisors (see below), whose sum is σ = 9478494144. Its totient is φ = 1018967040.

The previous prime is 3332288537. The next prime is 3332288563. The reversal of 3332288544 is 4458822333.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3332288544² = 22208293880947279872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3332288496 and 3332288505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195234 + ... + 211614.

It is an arithmetic number, because the mean of its divisors is an integer number (98734314).

Almost surely, 2^3332288544 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 3332288544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739247072).

3332288544 is an abundant number, since it is smaller than the sum of its proper divisors (6146205600).

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

3332288544 is a wasteful number, since it uses less digits than its factorization.

3332288544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16570 (or 16562 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The square root of 3332288544 is about 57725.9780688037. The cubic root of 3332288544 is about 1493.6454950809.

The spelling of 3332288544 in words is "three billion, three hundred thirty-two million, two hundred eighty-eight thousand, five hundred forty-four".