3223932768 has 288 divisors, whose sum is σ = 11680381440. Its totient is φ = 821145600.

The previous prime is 3223932743. The next prime is 3223932797. The reversal of 3223932768 is 8672393223.

3223932768 is a `hidden beast` number, since 32 + 239 + 327 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648693 + ... + 653643.

It is an arithmetic number, because the mean of its divisors is an integer number (40556880).

Almost surely, 2^3223932768 is an apocalyptic number.

3223932768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223932768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5840190720).

3223932768 is an abundant number, since it is smaller than the sum of its proper divisors (8456448672).

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

3223932768 is a wasteful number, since it uses less digits than its factorization.

3223932768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010 (or 4999 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 3223932768 is about 56779.6862266779. The cubic root of 3223932768 is about 1477.2771900696.

The spelling of 3223932768 in words is "three billion, two hundred twenty-three million, nine hundred thirty-two thousand, seven hundred sixty-eight".