3287332224 has 192 divisors, whose sum is σ = 10769241600. Its totient is φ = 952765440.

The previous prime is 3287332219. The next prime is 3287332249. The reversal of 3287332224 is 4222337823.

3287332224 is a `hidden beast` number, since 328 + 7 + 3 + 322 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285817 + ... + 297095.

It is an arithmetic number, because the mean of its divisors is an integer number (56089800).

Almost surely, 2^3287332224 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 3287332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5384620800).

3287332224 is an abundant number, since it is smaller than the sum of its proper divisors (7481909376).

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

3287332224 is a wasteful number, since it uses less digits than its factorization.

3287332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11333 (or 11318 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 3287332224 is about 57335.2616109842. The cubic root of 3287332224 is about 1486.8980742247.

The spelling of 3287332224 in words is "three billion, two hundred eighty-seven million, three hundred thirty-two thousand, two hundred twenty-four".